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Finding the Fourth Proportional to 136,593.84, 204,773.88 and 52,414.41

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Solution

The fourth proportional to 136,593.84, 204,773.88 and 52,414.41 is: 78,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,593.84 : 204,773.88 = 52,414.41 : x
  2. Step 2: Convert to fraction form
    136,593.84/204,773.88 = 52,414.41/x
  3. Step 3: Cross multiply
    136,593.84x = 204,773.88 × 52,414.41
  4. Step 4: Simplify right side
    136,593.84x = 10,733,102,103.61
  5. Step 5: Solve for x
    x = 10,733,102,103.61/136,593.84
  6. Step 6: Final answer
    x = 78,576.77

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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.