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Finding the Fourth Proportional to 136,294.25, 204,470.51 and 41,532

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Solution

The fourth proportional to 136,294.25, 204,470.51 and 41,532 is: 62,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,294.25 : 204,470.51 = 41,532 : x
  2. Step 2: Convert to fraction form
    136,294.25/204,470.51 = 41,532/x
  3. Step 3: Cross multiply
    136,294.25x = 204,470.51 × 41,532
  4. Step 4: Simplify right side
    136,294.25x = 8,492,069,013.66
  5. Step 5: Solve for x
    x = 8,492,069,013.66/136,294.25
  6. Step 6: Final answer
    x = 62,306.88

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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.