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Finding the Fourth Proportional to 178,258.50, 267,447.29 and 58,320.90

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Solution

The fourth proportional to 178,258.50, 267,447.29 and 58,320.90 is: 87,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,258.50 : 267,447.29 = 58,320.90 : x
  2. Step 2: Convert to fraction form
    178,258.50/267,447.29 = 58,320.90/x
  3. Step 3: Cross multiply
    178,258.50x = 267,447.29 × 58,320.90
  4. Step 4: Simplify right side
    178,258.50x = 15,597,766,363.76
  5. Step 5: Solve for x
    x = 15,597,766,363.76/178,258.50
  6. Step 6: Final answer
    x = 87,500.83

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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.