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Finding the Fourth Proportional to 225,820.32, 338,687.25 and 113,469.42

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Solution

The fourth proportional to 225,820.32, 338,687.25 and 113,469.42 is: 170,182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,820.32 : 338,687.25 = 113,469.42 : x
  2. Step 2: Convert to fraction form
    225,820.32/338,687.25 = 113,469.42/x
  3. Step 3: Cross multiply
    225,820.32x = 338,687.25 × 113,469.42
  4. Step 4: Simplify right side
    225,820.32x = 38,430,645,818.90
  5. Step 5: Solve for x
    x = 38,430,645,818.90/225,820.32
  6. Step 6: Final answer
    x = 170,182.41

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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.