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Finding the Fourth Proportional to 129,432, 178,581.24 and 75,730.20

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Solution

The fourth proportional to 129,432, 178,581.24 and 75,730.20 is: 104,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,432 : 178,581.24 = 75,730.20 : x
  2. Step 2: Convert to fraction form
    129,432/178,581.24 = 75,730.20/x
  3. Step 3: Cross multiply
    129,432x = 178,581.24 × 75,730.20
  4. Step 4: Simplify right side
    129,432x = 13,523,993,021.45
  5. Step 5: Solve for x
    x = 13,523,993,021.45/129,432
  6. Step 6: Final answer
    x = 104,487.24

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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.