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Finding the Fourth Proportional to 205,958.38, 284,208.81 and 115,299.04

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Solution

The fourth proportional to 205,958.38, 284,208.81 and 115,299.04 is: 159,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,958.38 : 284,208.81 = 115,299.04 : x
  2. Step 2: Convert to fraction form
    205,958.38/284,208.81 = 115,299.04/x
  3. Step 3: Cross multiply
    205,958.38x = 284,208.81 × 115,299.04
  4. Step 4: Simplify right side
    205,958.38x = 32,769,002,952.54
  5. Step 5: Solve for x
    x = 32,769,002,952.54/205,958.38
  6. Step 6: Final answer
    x = 159,104.98

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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.