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Finding the Fourth Proportional to 178,115.77, 267,191.17 and 51,757.11

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Solution

The fourth proportional to 178,115.77, 267,191.17 and 51,757.11 is: 77,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,115.77 : 267,191.17 = 51,757.11 : x
  2. Step 2: Convert to fraction form
    178,115.77/267,191.17 = 51,757.11/x
  3. Step 3: Cross multiply
    178,115.77x = 267,191.17 × 51,757.11
  4. Step 4: Simplify right side
    178,115.77x = 13,829,043,462.37
  5. Step 5: Solve for x
    x = 13,829,043,462.37/178,115.77
  6. Step 6: Final answer
    x = 77,640.76

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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.