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Finding the Fourth Proportional to 269,512.20, 403,928.10 and 136,429.20

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Solution

The fourth proportional to 269,512.20, 403,928.10 and 136,429.20 is: 204,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,512.20 : 403,928.10 = 136,429.20 : x
  2. Step 2: Convert to fraction form
    269,512.20/403,928.10 = 136,429.20/x
  3. Step 3: Cross multiply
    269,512.20x = 403,928.10 × 136,429.20
  4. Step 4: Simplify right side
    269,512.20x = 55,107,587,540.52
  5. Step 5: Solve for x
    x = 55,107,587,540.52/269,512.20
  6. Step 6: Final answer
    x = 204,471.59

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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.