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Finding the Fourth Proportional to 149,757.30, 206,673.51 and 81,780.60

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Solution

The fourth proportional to 149,757.30, 206,673.51 and 81,780.60 is: 112,861.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,757.30 : 206,673.51 = 81,780.60 : x
  2. Step 2: Convert to fraction form
    149,757.30/206,673.51 = 81,780.60/x
  3. Step 3: Cross multiply
    149,757.30x = 206,673.51 × 81,780.60
  4. Step 4: Simplify right side
    149,757.30x = 16,901,883,651.91
  5. Step 5: Solve for x
    x = 16,901,883,651.91/149,757.30
  6. Step 6: Final answer
    x = 112,861.83

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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.