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Finding the Fourth Proportional to 225,920.20, 338,770.86 and 68,119.24

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Solution

The fourth proportional to 225,920.20, 338,770.86 and 68,119.24 is: 102,145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,920.20 : 338,770.86 = 68,119.24 : x
  2. Step 2: Convert to fraction form
    225,920.20/338,770.86 = 68,119.24/x
  3. Step 3: Cross multiply
    225,920.20x = 338,770.86 × 68,119.24
  4. Step 4: Simplify right side
    225,920.20x = 23,076,813,517.35
  5. Step 5: Solve for x
    x = 23,076,813,517.35/225,920.20
  6. Step 6: Final answer
    x = 102,145.86

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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.