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Finding the Fourth Proportional to 253,663.84, 380,731.92 and 129,098.08

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Solution

The fourth proportional to 253,663.84, 380,731.92 and 129,098.08 is: 193,767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,663.84 : 380,731.92 = 129,098.08 : x
  2. Step 2: Convert to fraction form
    253,663.84/380,731.92 = 129,098.08/x
  3. Step 3: Cross multiply
    253,663.84x = 380,731.92 × 129,098.08
  4. Step 4: Simplify right side
    253,663.84x = 49,151,759,866.71
  5. Step 5: Solve for x
    x = 49,151,759,866.71/253,663.84
  6. Step 6: Final answer
    x = 193,767.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.