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Finding the Fourth Proportional to 218,454.29, 327,808.80 and 92,086.80

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Solution

The fourth proportional to 218,454.29, 327,808.80 and 92,086.80 is: 138,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,454.29 : 327,808.80 = 92,086.80 : x
  2. Step 2: Convert to fraction form
    218,454.29/327,808.80 = 92,086.80/x
  3. Step 3: Cross multiply
    218,454.29x = 327,808.80 × 92,086.80
  4. Step 4: Simplify right side
    218,454.29x = 30,186,863,403.84
  5. Step 5: Solve for x
    x = 30,186,863,403.84/218,454.29
  6. Step 6: Final answer
    x = 138,183.89

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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.