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Finding the Fourth Proportional to 206,140.82, 284,469.37 and 115,500.60

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Solution

The fourth proportional to 206,140.82, 284,469.37 and 115,500.60 is: 159,388.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,140.82 : 284,469.37 = 115,500.60 : x
  2. Step 2: Convert to fraction form
    206,140.82/284,469.37 = 115,500.60/x
  3. Step 3: Cross multiply
    206,140.82x = 284,469.37 × 115,500.60
  4. Step 4: Simplify right side
    206,140.82x = 32,856,382,627.87
  5. Step 5: Solve for x
    x = 32,856,382,627.87/206,140.82
  6. Step 6: Final answer
    x = 159,388.05

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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.