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Finding the Fourth Proportional to 129,138.38, 178,206.84 and 71,777.42

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Solution

The fourth proportional to 129,138.38, 178,206.84 and 71,777.42 is: 99,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,138.38 : 178,206.84 = 71,777.42 : x
  2. Step 2: Convert to fraction form
    129,138.38/178,206.84 = 71,777.42/x
  3. Step 3: Cross multiply
    129,138.38x = 178,206.84 × 71,777.42
  4. Step 4: Simplify right side
    129,138.38x = 12,791,227,201.55
  5. Step 5: Solve for x
    x = 12,791,227,201.55/129,138.38
  6. Step 6: Final answer
    x = 99,050.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.