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Finding the Fourth Proportional to 225,699.69, 338,593.82 and 83,546.21

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Solution

The fourth proportional to 225,699.69, 338,593.82 and 83,546.21 is: 125,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,699.69 : 338,593.82 = 83,546.21 : x
  2. Step 2: Convert to fraction form
    225,699.69/338,593.82 = 83,546.21/x
  3. Step 3: Cross multiply
    225,699.69x = 338,593.82 × 83,546.21
  4. Step 4: Simplify right side
    225,699.69x = 28,288,228,279.72
  5. Step 5: Solve for x
    x = 28,288,228,279.72/225,699.69
  6. Step 6: Final answer
    x = 125,335.70

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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.