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Finding the Fourth Proportional to 178,306.57, 267,792.96 and 156,966.85

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Solution

The fourth proportional to 178,306.57, 267,792.96 and 156,966.85 is: 235,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,306.57 : 267,792.96 = 156,966.85 : x
  2. Step 2: Convert to fraction form
    178,306.57/267,792.96 = 156,966.85/x
  3. Step 3: Cross multiply
    178,306.57x = 267,792.96 × 156,966.85
  4. Step 4: Simplify right side
    178,306.57x = 42,034,617,383.38
  5. Step 5: Solve for x
    x = 42,034,617,383.38/178,306.57
  6. Step 6: Final answer
    x = 235,743.51

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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.