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Finding the Fourth Proportional to 204,438.68, 282,123.18 and 113,793.20

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Solution

The fourth proportional to 204,438.68, 282,123.18 and 113,793.20 is: 157,033.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,438.68 : 282,123.18 = 113,793.20 : x
  2. Step 2: Convert to fraction form
    204,438.68/282,123.18 = 113,793.20/x
  3. Step 3: Cross multiply
    204,438.68x = 282,123.18 × 113,793.20
  4. Step 4: Simplify right side
    204,438.68x = 32,103,699,446.38
  5. Step 5: Solve for x
    x = 32,103,699,446.38/204,438.68
  6. Step 6: Final answer
    x = 157,033.39

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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.