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Finding the Fourth Proportional to 206,700.96, 285,175.99 and 116,044.35

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Solution

The fourth proportional to 206,700.96, 285,175.99 and 116,044.35 is: 160,101.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,700.96 : 285,175.99 = 116,044.35 : x
  2. Step 2: Convert to fraction form
    206,700.96/285,175.99 = 116,044.35/x
  3. Step 3: Cross multiply
    206,700.96x = 285,175.99 × 116,044.35
  4. Step 4: Simplify right side
    206,700.96x = 33,093,061,470.80
  5. Step 5: Solve for x
    x = 33,093,061,470.80/206,700.96
  6. Step 6: Final answer
    x = 160,101.15

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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.