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Finding the Fourth Proportional to 149,871.68, 206,961.04 and 96,250.12

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Solution

The fourth proportional to 149,871.68, 206,961.04 and 96,250.12 is: 132,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871.68 : 206,961.04 = 96,250.12 : x
  2. Step 2: Convert to fraction form
    149,871.68/206,961.04 = 96,250.12/x
  3. Step 3: Cross multiply
    149,871.68x = 206,961.04 × 96,250.12
  4. Step 4: Simplify right side
    149,871.68x = 19,920,024,935.32
  5. Step 5: Solve for x
    x = 19,920,024,935.32/149,871.68
  6. Step 6: Final answer
    x = 132,913.87

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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.