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Finding the Fourth Proportional to 206,540.80, 285,087.36 and 121,685.28

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Solution

The fourth proportional to 206,540.80, 285,087.36 and 121,685.28 is: 167,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,540.80 : 285,087.36 = 121,685.28 : x
  2. Step 2: Convert to fraction form
    206,540.80/285,087.36 = 121,685.28/x
  3. Step 3: Cross multiply
    206,540.80x = 285,087.36 × 121,685.28
  4. Step 4: Simplify right side
    206,540.80x = 34,690,935,226.06
  5. Step 5: Solve for x
    x = 34,690,935,226.06/206,540.80
  6. Step 6: Final answer
    x = 167,961.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.