Katherine Green is single with $$146,000$ in gross income from her job at the Caitlin Bank. During the year she had $$4,300$ in adjustments. She had $$23,000$ in eligible $7\mathrm{.}5\%$ medical expenses and $$14,000$ in fully itemized deductions. She has $2$ eligible children. She had $$10,000$ worth of taxes withheld throughout the year.

What is the Green household's taxable income?