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Finding the Fourth Proportional to 206,954.82, 285,600.42 and 125,282.16

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Solution

The fourth proportional to 206,954.82, 285,600.42 and 125,282.16 is: 172,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,954.82 : 285,600.42 = 125,282.16 : x
  2. Step 2: Convert to fraction form
    206,954.82/285,600.42 = 125,282.16/x
  3. Step 3: Cross multiply
    206,954.82x = 285,600.42 × 125,282.16
  4. Step 4: Simplify right side
    206,954.82x = 35,780,637,514.51
  5. Step 5: Solve for x
    x = 35,780,637,514.51/206,954.82
  6. Step 6: Final answer
    x = 172,891.06

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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.