Kelly Clarkson will pay the bulk of her children's private school tuition, but Montana won't hold her money due to a new ruling by her divorce judge.According to TMZ's docs, Kelly will continue to pay Brandon Blackstock $150k per monthly in spousal support, plus an additional $45k/month for child support. However, he is responsible for the payments on their Montana ranch.Judge notes that ranch expenses average $81,000 per month, including taxes, mortgage and insurance. Brandon was ordered to shoulder that burden. He is the one who lives there and uses it as his primary residence.Kelly was also the big picture. Kelly earned over $1.5 million per month, while Brandon was only $10k per monthly.The issue of child costs, especially for school, is another. Kelly will bear the brunt of the cost... covering 70% tuition fees and other related expenses at private schools.