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Finding the Fourth Proportional to 205,501.38, 283,593.87 and 120,619.86

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Solution

The fourth proportional to 205,501.38, 283,593.87 and 120,619.86 is: 166,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,501.38 : 283,593.87 = 120,619.86 : x
  2. Step 2: Convert to fraction form
    205,501.38/283,593.87 = 120,619.86/x
  3. Step 3: Cross multiply
    205,501.38x = 283,593.87 × 120,619.86
  4. Step 4: Simplify right side
    205,501.38x = 34,207,052,896.26
  5. Step 5: Solve for x
    x = 34,207,052,896.26/205,501.38
  6. Step 6: Final answer
    x = 166,456.56

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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.