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Finding the Fourth Proportional to 178,251.80, 267,197.67 and 111,738.55

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Solution

The fourth proportional to 178,251.80, 267,197.67 and 111,738.55 is: 167,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,251.80 : 267,197.67 = 111,738.55 : x
  2. Step 2: Convert to fraction form
    178,251.80/267,197.67 = 111,738.55/x
  3. Step 3: Cross multiply
    178,251.80x = 267,197.67 × 111,738.55
  4. Step 4: Simplify right side
    178,251.80x = 29,856,280,209.18
  5. Step 5: Solve for x
    x = 29,856,280,209.18/178,251.80
  6. Step 6: Final answer
    x = 167,494.97

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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.