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Finding the Fourth Proportional to 106,591.73, 159,874.86 and 82,922.90

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Solution

The fourth proportional to 106,591.73, 159,874.86 and 82,922.90 is: 124,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,591.73 : 159,874.86 = 82,922.90 : x
  2. Step 2: Convert to fraction form
    106,591.73/159,874.86 = 82,922.90/x
  3. Step 3: Cross multiply
    106,591.73x = 159,874.86 × 82,922.90
  4. Step 4: Simplify right side
    106,591.73x = 13,257,287,028.29
  5. Step 5: Solve for x
    x = 13,257,287,028.29/106,591.73
  6. Step 6: Final answer
    x = 124,374.44

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1.5x scale

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.