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Finding the Fourth Proportional to 218,082.80, 327,145.80 and 75,906.20

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Solution

The fourth proportional to 218,082.80, 327,145.80 and 75,906.20 is: 113,866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,082.80 : 327,145.80 = 75,906.20 : x
  2. Step 2: Convert to fraction form
    218,082.80/327,145.80 = 75,906.20/x
  3. Step 3: Cross multiply
    218,082.80x = 327,145.80 × 75,906.20
  4. Step 4: Simplify right side
    218,082.80x = 24,832,394,523.96
  5. Step 5: Solve for x
    x = 24,832,394,523.96/218,082.80
  6. Step 6: Final answer
    x = 113,866.82

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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.