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Finding the Fourth Proportional to 149,872.68, 206,962.42 and 96,251.12

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Solution

The fourth proportional to 149,872.68, 206,962.42 and 96,251.12 is: 132,915.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,872.68 : 206,962.42 = 96,251.12 : x
  2. Step 2: Convert to fraction form
    149,872.68/206,962.42 = 96,251.12/x
  3. Step 3: Cross multiply
    149,872.68x = 206,962.42 × 96,251.12
  4. Step 4: Simplify right side
    149,872.68x = 19,920,364,722.91
  5. Step 5: Solve for x
    x = 19,920,364,722.91/149,872.68
  6. Step 6: Final answer
    x = 132,915.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.