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Finding the Fourth Proportional to 149,394.12, 206,162.01 and 81,414.06

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Solution

The fourth proportional to 149,394.12, 206,162.01 and 81,414.06 is: 112,350.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,394.12 : 206,162.01 = 81,414.06 : x
  2. Step 2: Convert to fraction form
    149,394.12/206,162.01 = 81,414.06/x
  3. Step 3: Cross multiply
    149,394.12x = 206,162.01 × 81,414.06
  4. Step 4: Simplify right side
    149,394.12x = 16,784,486,251.86
  5. Step 5: Solve for x
    x = 16,784,486,251.86/149,394.12
  6. Step 6: Final answer
    x = 112,350.38

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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.