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Finding the Fourth Proportional to 107,773.70, 161,660.55 and 85,223.30

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Solution

The fourth proportional to 107,773.70, 161,660.55 and 85,223.30 is: 127,834.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,773.70 : 161,660.55 = 85,223.30 : x
  2. Step 2: Convert to fraction form
    107,773.70/161,660.55 = 85,223.30/x
  3. Step 3: Cross multiply
    107,773.70x = 161,660.55 × 85,223.30
  4. Step 4: Simplify right side
    107,773.70x = 13,777,245,550.82
  5. Step 5: Solve for x
    x = 13,777,245,550.82/107,773.70
  6. Step 6: Final answer
    x = 127,834.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.