Turner, Roth, and Lowe are partners who share income and loss in a $2$:$3$:$5$ ratio $($in percents: Turner, $20\%$; Roth, $30\%$; and Lowe, $50\%).$ The partners decide to liquidate the partnership. Immediately before liquidation, the partnership balance sheet shows total assets, $$133,200$; total liabilities, $$84,000$; Turner, Capital, $$3,100$; Roth, Capital, $$14,300$; and Lowe, Capital, $$31,800.$ The liquidation resulted in a loss of $$80,200.$