On January $1,2024,$ a company adopted the dollar$-$value LIFO method. The inventory cost on this date was $$100,000.$ The ending inventory, valued at year$-$end costs, and the relative cost index for each of the next three years is below:

Year$-$End Ending Inventory at Year$-$End Costs Cost Index

$2024$ $ $126,0001\mathrm{.}05$

$2025143,0001\mathrm{.}10$

$2026153,6001\mathrm{.}20$

What inventory balance would the company report on its $12/31/2026$ balance sheet?