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Finding the Fourth Proportional to 206,436.65, 284,884.97 and 114,557.85

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Solution

The fourth proportional to 206,436.65, 284,884.97 and 114,557.85 is: 158,091.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.65 : 284,884.97 = 114,557.85 : x
  2. Step 2: Convert to fraction form
    206,436.65/284,884.97 = 114,557.85/x
  3. Step 3: Cross multiply
    206,436.65x = 284,884.97 × 114,557.85
  4. Step 4: Simplify right side
    206,436.65x = 32,635,809,087.73
  5. Step 5: Solve for x
    x = 32,635,809,087.73/206,436.65
  6. Step 6: Final answer
    x = 158,091.16

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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.