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Finding the Fourth Proportional to 105,732.46, 145,910.12 and 60,424.30

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Solution

The fourth proportional to 105,732.46, 145,910.12 and 60,424.30 is: 83,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732.46 : 145,910.12 = 60,424.30 : x
  2. Step 2: Convert to fraction form
    105,732.46/145,910.12 = 60,424.30/x
  3. Step 3: Cross multiply
    105,732.46x = 145,910.12 × 60,424.30
  4. Step 4: Simplify right side
    105,732.46x = 8,816,516,863.92
  5. Step 5: Solve for x
    x = 8,816,516,863.92/105,732.46
  6. Step 6: Final answer
    x = 83,385.15

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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.