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Finding the Fourth Proportional to 149,965.38, 206,948.70 and 81,982.86

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Solution

The fourth proportional to 149,965.38, 206,948.70 and 81,982.86 is: 113,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,965.38 : 206,948.70 = 81,982.86 : x
  2. Step 2: Convert to fraction form
    149,965.38/206,948.70 = 81,982.86/x
  3. Step 3: Cross multiply
    149,965.38x = 206,948.70 × 81,982.86
  4. Step 4: Simplify right side
    149,965.38x = 16,966,246,299.28
  5. Step 5: Solve for x
    x = 16,966,246,299.28/149,965.38
  6. Step 6: Final answer
    x = 113,134.42

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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.