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Finding the Fourth Proportional to 106,166.92, 159,255.96 and 27,281.68

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Solution

The fourth proportional to 106,166.92, 159,255.96 and 27,281.68 is: 40,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166.92 : 159,255.96 = 27,281.68 : x
  2. Step 2: Convert to fraction form
    106,166.92/159,255.96 = 27,281.68/x
  3. Step 3: Cross multiply
    106,166.92x = 159,255.96 × 27,281.68
  4. Step 4: Simplify right side
    106,166.92x = 4,344,770,138.81
  5. Step 5: Solve for x
    x = 4,344,770,138.81/106,166.92
  6. Step 6: Final answer
    x = 40,923.95

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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.