Finding the Fourth Proportional to 132,190,470.97, 182,346,871.75 and 82,544,663.36
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Solution
The fourth proportional to 132,190,470.97, 182,346,871.75 and 82,544,663.36 is: 113,864,191.82
Step by Step Solution
- Step 1: Write the proportion equation
132,190,470.97 : 182,346,871.75 = 82,544,663.36 : x - Step 2: Convert to fraction form
132,190,470.97/182,346,871.75 = 82,544,663.36/x - Step 3: Cross multiply
132,190,470.97x = 182,346,871.75 × 82,544,663.36 - Step 4: Simplify right side
132,190,470.97x = 15,051,761,142,940,122 - Step 5: Solve for x
x = 15,051,761,142,940,122/132,190,470.97 - Step 6: Final answer
x = 113,864,191.82
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.