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Finding the Fourth Proportional to 149,766, 206,685.52 and 81,789.30

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Solution

The fourth proportional to 149,766, 206,685.52 and 81,789.30 is: 112,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,766 : 206,685.52 = 81,789.30 : x
  2. Step 2: Convert to fraction form
    149,766/206,685.52 = 81,789.30/x
  3. Step 3: Cross multiply
    149,766x = 206,685.52 × 81,789.30
  4. Step 4: Simplify right side
    149,766x = 16,904,664,000.94
  5. Step 5: Solve for x
    x = 16,904,664,000.94/149,766
  6. Step 6: Final answer
    x = 112,873.84

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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.