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Finding the Fourth Proportional to 206,854.36, 285,487.79 and 116,217.33

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Solution

The fourth proportional to 206,854.36, 285,487.79 and 116,217.33 is: 160,396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,854.36 : 285,487.79 = 116,217.33 : x
  2. Step 2: Convert to fraction form
    206,854.36/285,487.79 = 116,217.33/x
  3. Step 3: Cross multiply
    206,854.36x = 285,487.79 × 116,217.33
  4. Step 4: Simplify right side
    206,854.36x = 33,178,629,309.33
  5. Step 5: Solve for x
    x = 33,178,629,309.33/206,854.36
  6. Step 6: Final answer
    x = 160,396.09

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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.