With what you're paying it amounts to $11100/year leaving you $48,900 to live on. If you can't live on that on your own, how do you expect her to do it with a child? Her expenses would be a lot more considering she has custody of the child and incurs the expenses related to maintaining a home for the child.
Perhaps instead of a reduction in child support you might review the expenses associated with your lifestyle and look for ways to cut back there, instead of on your child's.
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