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Finding the Fourth Proportional to 206,626.84, 285,149.25 and 115,989.34

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Solution

The fourth proportional to 206,626.84, 285,149.25 and 115,989.34 is: 160,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,626.84 : 285,149.25 = 115,989.34 : x
  2. Step 2: Convert to fraction form
    206,626.84/285,149.25 = 115,989.34/x
  3. Step 3: Cross multiply
    206,626.84x = 285,149.25 × 115,989.34
  4. Step 4: Simplify right side
    206,626.84x = 33,074,273,309.00
  5. Step 5: Solve for x
    x = 33,074,273,309.00/206,626.84
  6. Step 6: Final answer
    x = 160,067.65

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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.