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Finding the Fourth Proportional to 225,707.60, 338,605.65 and 83,553.97

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Solution

The fourth proportional to 225,707.60, 338,605.65 and 83,553.97 is: 125,347.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,707.60 : 338,605.65 = 83,553.97 : x
  2. Step 2: Convert to fraction form
    225,707.60/338,605.65 = 83,553.97/x
  3. Step 3: Cross multiply
    225,707.60x = 338,605.65 × 83,553.97
  4. Step 4: Simplify right side
    225,707.60x = 28,291,846,321.93
  5. Step 5: Solve for x
    x = 28,291,846,321.93/225,707.60
  6. Step 6: Final answer
    x = 125,347.34

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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.