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Finding the Fourth Proportional to 218,383.40, 327,747.90 and 85,327.40

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Solution

The fourth proportional to 218,383.40, 327,747.90 and 85,327.40 is: 128,058.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,383.40 : 327,747.90 = 85,327.40 : x
  2. Step 2: Convert to fraction form
    218,383.40/327,747.90 = 85,327.40/x
  3. Step 3: Cross multiply
    218,383.40x = 327,747.90 × 85,327.40
  4. Step 4: Simplify right side
    218,383.40x = 27,965,876,162.46
  5. Step 5: Solve for x
    x = 27,965,876,162.46/218,383.40
  6. Step 6: Final answer
    x = 128,058.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.