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Finding the Fourth Proportional to 154,591.30, 231,862.65 and 54,737.20

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Solution

The fourth proportional to 154,591.30, 231,862.65 and 54,737.20 is: 82,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,591.30 : 231,862.65 = 54,737.20 : x
  2. Step 2: Convert to fraction form
    154,591.30/231,862.65 = 54,737.20/x
  3. Step 3: Cross multiply
    154,591.30x = 231,862.65 × 54,737.20
  4. Step 4: Simplify right side
    154,591.30x = 12,691,512,245.58
  5. Step 5: Solve for x
    x = 12,691,512,245.58/154,591.30
  6. Step 6: Final answer
    x = 82,097.20

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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.