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Finding the Fourth Proportional to 106,788.10, 160,182.15 and 27,902.20

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Solution

The fourth proportional to 106,788.10, 160,182.15 and 27,902.20 is: 41,853.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,788.10 : 160,182.15 = 27,902.20 : x
  2. Step 2: Convert to fraction form
    106,788.10/160,182.15 = 27,902.20/x
  3. Step 3: Cross multiply
    106,788.10x = 160,182.15 × 27,902.20
  4. Step 4: Simplify right side
    106,788.10x = 4,469,434,385.73
  5. Step 5: Solve for x
    x = 4,469,434,385.73/106,788.10
  6. Step 6: Final answer
    x = 41,853.30

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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.