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Finding the Fourth Proportional to 178,760.32, 267,898.56 and 67,891.84

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Solution

The fourth proportional to 178,760.32, 267,898.56 and 67,891.84 is: 101,745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,760.32 : 267,898.56 = 67,891.84 : x
  2. Step 2: Convert to fraction form
    178,760.32/267,898.56 = 67,891.84/x
  3. Step 3: Cross multiply
    178,760.32x = 267,898.56 × 67,891.84
  4. Step 4: Simplify right side
    178,760.32x = 18,188,126,171.75
  5. Step 5: Solve for x
    x = 18,188,126,171.75/178,760.32
  6. Step 6: Final answer
    x = 101,745.88

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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.