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Finding the Fourth Proportional to 225,463.56, 338,209.92 and 75,697.80

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Solution

The fourth proportional to 225,463.56, 338,209.92 and 75,697.80 is: 113,551.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,463.56 : 338,209.92 = 75,697.80 : x
  2. Step 2: Convert to fraction form
    225,463.56/338,209.92 = 75,697.80/x
  3. Step 3: Cross multiply
    225,463.56x = 338,209.92 × 75,697.80
  4. Step 4: Simplify right side
    225,463.56x = 25,601,746,882.18
  5. Step 5: Solve for x
    x = 25,601,746,882.18/225,463.56
  6. Step 6: Final answer
    x = 113,551.60

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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.