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Finding the Fourth Proportional to 137,001.92, 189,063.96 and 80,414.24

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Solution

The fourth proportional to 137,001.92, 189,063.96 and 80,414.24 is: 110,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,001.92 : 189,063.96 = 80,414.24 : x
  2. Step 2: Convert to fraction form
    137,001.92/189,063.96 = 80,414.24/x
  3. Step 3: Cross multiply
    137,001.92x = 189,063.96 × 80,414.24
  4. Step 4: Simplify right side
    137,001.92x = 15,203,434,654.79
  5. Step 5: Solve for x
    x = 15,203,434,654.79/137,001.92
  6. Step 6: Final answer
    x = 110,972.42

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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.