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Finding the Fourth Proportional to 178,352.80, 267,529.68 and 45,233.14

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Solution

The fourth proportional to 178,352.80, 267,529.68 and 45,233.14 is: 67,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,352.80 : 267,529.68 = 45,233.14 : x
  2. Step 2: Convert to fraction form
    178,352.80/267,529.68 = 45,233.14/x
  3. Step 3: Cross multiply
    178,352.80x = 267,529.68 × 45,233.14
  4. Step 4: Simplify right side
    178,352.80x = 12,101,207,469.60
  5. Step 5: Solve for x
    x = 12,101,207,469.60/178,352.80
  6. Step 6: Final answer
    x = 67,849.83

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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.