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Finding the Fourth Proportional to 206,072.28, 285,834.60 and 200,609.64

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Solution

The fourth proportional to 206,072.28, 285,834.60 and 200,609.64 is: 278,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,072.28 : 285,834.60 = 200,609.64 : x
  2. Step 2: Convert to fraction form
    206,072.28/285,834.60 = 200,609.64/x
  3. Step 3: Cross multiply
    206,072.28x = 285,834.60 × 200,609.64
  4. Step 4: Simplify right side
    206,072.28x = 57,341,176,205.54
  5. Step 5: Solve for x
    x = 57,341,176,205.54/206,072.28
  6. Step 6: Final answer
    x = 278,257.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.