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Finding the Fourth Proportional to 149,382.92, 206,149.20 and 81,400.64

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Solution

The fourth proportional to 149,382.92, 206,149.20 and 81,400.64 is: 112,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,382.92 : 206,149.20 = 81,400.64 : x
  2. Step 2: Convert to fraction form
    149,382.92/206,149.20 = 81,400.64/x
  3. Step 3: Cross multiply
    149,382.92x = 206,149.20 × 81,400.64
  4. Step 4: Simplify right side
    149,382.92x = 16,780,676,815.49
  5. Step 5: Solve for x
    x = 16,780,676,815.49/149,382.92
  6. Step 6: Final answer
    x = 112,333.30

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