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Finding the Fourth Proportional to 218,453.54, 327,807.68 and 92,086.04

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Solution

The fourth proportional to 218,453.54, 327,807.68 and 92,086.04 is: 138,182.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,453.54 : 327,807.68 = 92,086.04 : x
  2. Step 2: Convert to fraction form
    218,453.54/327,807.68 = 92,086.04/x
  3. Step 3: Cross multiply
    218,453.54x = 327,807.68 × 92,086.04
  4. Step 4: Simplify right side
    218,453.54x = 30,186,511,491.88
  5. Step 5: Solve for x
    x = 30,186,511,491.88/218,453.54
  6. Step 6: Final answer
    x = 138,182.76

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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.