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Finding the Fourth Proportional to 178,414.57, 267,595.71 and 52,020.87

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Solution

The fourth proportional to 178,414.57, 267,595.71 and 52,020.87 is: 78,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,414.57 : 267,595.71 = 52,020.87 : x
  2. Step 2: Convert to fraction form
    178,414.57/267,595.71 = 52,020.87/x
  3. Step 3: Cross multiply
    178,414.57x = 267,595.71 × 52,020.87
  4. Step 4: Simplify right side
    178,414.57x = 13,920,561,642.47
  5. Step 5: Solve for x
    x = 13,920,561,642.47/178,414.57
  6. Step 6: Final answer
    x = 78,023.68

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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.