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Finding the Fourth Proportional to 206,543.97, 285,029.90 and 115,899.73

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Solution

The fourth proportional to 206,543.97, 285,029.90 and 115,899.73 is: 159,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.97 : 285,029.90 = 115,899.73 : x
  2. Step 2: Convert to fraction form
    206,543.97/285,029.90 = 115,899.73/x
  3. Step 3: Cross multiply
    206,543.97x = 285,029.90 × 115,899.73
  4. Step 4: Simplify right side
    206,543.97x = 33,034,888,451.93
  5. Step 5: Solve for x
    x = 33,034,888,451.93/206,543.97
  6. Step 6: Final answer
    x = 159,941.19

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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.