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Finding the Fourth Proportional to 225,843.70, 338,549.55 and 83,650.90

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Solution

The fourth proportional to 225,843.70, 338,549.55 and 83,650.90 is: 125,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,843.70 : 338,549.55 = 83,650.90 : x
  2. Step 2: Convert to fraction form
    225,843.70/338,549.55 = 83,650.90/x
  3. Step 3: Cross multiply
    225,843.70x = 338,549.55 × 83,650.90
  4. Step 4: Simplify right side
    225,843.70x = 28,319,974,552.10
  5. Step 5: Solve for x
    x = 28,319,974,552.10/225,843.70
  6. Step 6: Final answer
    x = 125,396.35

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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.