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Finding the Fourth Proportional to 149,098.93, 205,757.01 and 81,115.89

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Solution

The fourth proportional to 149,098.93, 205,757.01 and 81,115.89 is: 111,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,098.93 : 205,757.01 = 81,115.89 : x
  2. Step 2: Convert to fraction form
    149,098.93/205,757.01 = 81,115.89/x
  3. Step 3: Cross multiply
    149,098.93x = 205,757.01 × 81,115.89
  4. Step 4: Simplify right side
    149,098.93x = 16,690,162,989.89
  5. Step 5: Solve for x
    x = 16,690,162,989.89/149,098.93
  6. Step 6: Final answer
    x = 111,940.19

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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.