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Finding the Fourth Proportional to 225,706.60, 338,604.15 and 83,552.97

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Solution

The fourth proportional to 225,706.60, 338,604.15 and 83,552.97 is: 125,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,706.60 : 338,604.15 = 83,552.97 : x
  2. Step 2: Convert to fraction form
    225,706.60/338,604.15 = 83,552.97/x
  3. Step 3: Cross multiply
    225,706.60x = 338,604.15 × 83,552.97
  4. Step 4: Simplify right side
    225,706.60x = 28,291,382,124.01
  5. Step 5: Solve for x
    x = 28,291,382,124.01/225,706.60
  6. Step 6: Final answer
    x = 125,345.83

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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.