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Finding the Fourth Proportional to 206,469.57, 284,949.60 and 115,850.01

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Solution

The fourth proportional to 206,469.57, 284,949.60 and 115,850.01 is: 159,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,469.57 : 284,949.60 = 115,850.01 : x
  2. Step 2: Convert to fraction form
    206,469.57/284,949.60 = 115,850.01/x
  3. Step 3: Cross multiply
    206,469.57x = 284,949.60 × 115,850.01
  4. Step 4: Simplify right side
    206,469.57x = 33,011,414,009.50
  5. Step 5: Solve for x
    x = 33,011,414,009.50/206,469.57
  6. Step 6: Final answer
    x = 159,885.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.