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Finding the Fourth Proportional to 225,934.25, 338,664.90 and 76,122.78

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Solution

The fourth proportional to 225,934.25, 338,664.90 and 76,122.78 is: 114,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,934.25 : 338,664.90 = 76,122.78 : x
  2. Step 2: Convert to fraction form
    225,934.25/338,664.90 = 76,122.78/x
  3. Step 3: Cross multiply
    225,934.25x = 338,664.90 × 76,122.78
  4. Step 4: Simplify right side
    225,934.25x = 25,780,113,676.42
  5. Step 5: Solve for x
    x = 25,780,113,676.42/225,934.25
  6. Step 6: Final answer
    x = 114,104.50

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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.