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Finding the Fourth Proportional to 149,262.75, 205,982.60 and 82,194.75

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Solution

The fourth proportional to 149,262.75, 205,982.60 and 82,194.75 is: 113,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,262.75 : 205,982.60 = 82,194.75 : x
  2. Step 2: Convert to fraction form
    149,262.75/205,982.60 = 82,194.75/x
  3. Step 3: Cross multiply
    149,262.75x = 205,982.60 × 82,194.75
  4. Step 4: Simplify right side
    149,262.75x = 16,930,687,900.38
  5. Step 5: Solve for x
    x = 16,930,687,900.38/149,262.75
  6. Step 6: Final answer
    x = 113,428.76

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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.