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Finding the Fourth Proportional to 225,642.14, 338,107.17 and 83,291.54

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Solution

The fourth proportional to 225,642.14, 338,107.17 and 83,291.54 is: 124,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,642.14 : 338,107.17 = 83,291.54 : x
  2. Step 2: Convert to fraction form
    225,642.14/338,107.17 = 83,291.54/x
  3. Step 3: Cross multiply
    225,642.14x = 338,107.17 × 83,291.54
  4. Step 4: Simplify right side
    225,642.14x = 28,161,466,874.34
  5. Step 5: Solve for x
    x = 28,161,466,874.34/225,642.14
  6. Step 6: Final answer
    x = 124,805.88

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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.