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Finding the Fourth Proportional to 178,493.52, 267,765.33 and 52,143.03

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Solution

The fourth proportional to 178,493.52, 267,765.33 and 52,143.03 is: 78,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,493.52 : 267,765.33 = 52,143.03 : x
  2. Step 2: Convert to fraction form
    178,493.52/267,765.33 = 52,143.03/x
  3. Step 3: Cross multiply
    178,493.52x = 267,765.33 × 52,143.03
  4. Step 4: Simplify right side
    178,493.52x = 13,962,095,635.15
  5. Step 5: Solve for x
    x = 13,962,095,635.15/178,493.52
  6. Step 6: Final answer
    x = 78,221.86

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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.