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Finding the Fourth Proportional to 206,601.94, 285,098.70 and 115,949.44

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Solution

The fourth proportional to 206,601.94, 285,098.70 and 115,949.44 is: 160,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,601.94 : 285,098.70 = 115,949.44 : x
  2. Step 2: Convert to fraction form
    206,601.94/285,098.70 = 115,949.44/x
  3. Step 3: Cross multiply
    206,601.94x = 285,098.70 × 115,949.44
  4. Step 4: Simplify right side
    206,601.94x = 33,057,034,609.73
  5. Step 5: Solve for x
    x = 33,057,034,609.73/206,601.94
  6. Step 6: Final answer
    x = 160,003.51

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1.5x scale

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.