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Finding the Fourth Proportional to 225,711.12, 338,460.56 and 83,458.10

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Solution

The fourth proportional to 225,711.12, 338,460.56 and 83,458.10 is: 125,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,711.12 : 338,460.56 = 83,458.10 : x
  2. Step 2: Convert to fraction form
    225,711.12/338,460.56 = 83,458.10/x
  3. Step 3: Cross multiply
    225,711.12x = 338,460.56 × 83,458.10
  4. Step 4: Simplify right side
    225,711.12x = 28,247,275,262.54
  5. Step 5: Solve for x
    x = 28,247,275,262.54/225,711.12
  6. Step 6: Final answer
    x = 125,147.91

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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.