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Finding the Fourth Proportional to 206,191.54, 284,542.59 and 189,264.16

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Solution

The fourth proportional to 206,191.54, 284,542.59 and 189,264.16 is: 261,182.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,191.54 : 284,542.59 = 189,264.16 : x
  2. Step 2: Convert to fraction form
    206,191.54/284,542.59 = 189,264.16/x
  3. Step 3: Cross multiply
    206,191.54x = 284,542.59 × 189,264.16
  4. Step 4: Simplify right side
    206,191.54x = 53,853,714,280.57
  5. Step 5: Solve for x
    x = 53,853,714,280.57/206,191.54
  6. Step 6: Final answer
    x = 261,182.95

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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.