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Finding the Fourth Proportional to 218,104.98, 300,961.92 and 121,293.15

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Solution

The fourth proportional to 218,104.98, 300,961.92 and 121,293.15 is: 167,371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,104.98 : 300,961.92 = 121,293.15 : x
  2. Step 2: Convert to fraction form
    218,104.98/300,961.92 = 121,293.15/x
  3. Step 3: Cross multiply
    218,104.98x = 300,961.92 × 121,293.15
  4. Step 4: Simplify right side
    218,104.98x = 36,504,619,306.85
  5. Step 5: Solve for x
    x = 36,504,619,306.85/218,104.98
  6. Step 6: Final answer
    x = 167,371.78

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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.