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Finding the Fourth Proportional to 254,432.64, 381,657.60 and 67,463.04

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Solution

The fourth proportional to 254,432.64, 381,657.60 and 67,463.04 is: 101,196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,432.64 : 381,657.60 = 67,463.04 : x
  2. Step 2: Convert to fraction form
    254,432.64/381,657.60 = 67,463.04/x
  3. Step 3: Cross multiply
    254,432.64x = 381,657.60 × 67,463.04
  4. Step 4: Simplify right side
    254,432.64x = 25,747,781,935.10
  5. Step 5: Solve for x
    x = 25,747,781,935.10/254,432.64
  6. Step 6: Final answer
    x = 101,196.85

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Why These Related Problems?

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