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Finding the Fourth Proportional to 218,436.80, 327,266.40 and 178,779.20

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Solution

The fourth proportional to 218,436.80, 327,266.40 and 178,779.20 is: 267,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,436.80 : 327,266.40 = 178,779.20 : x
  2. Step 2: Convert to fraction form
    218,436.80/327,266.40 = 178,779.20/x
  3. Step 3: Cross multiply
    218,436.80x = 327,266.40 × 178,779.20
  4. Step 4: Simplify right side
    218,436.80x = 58,508,425,178.88
  5. Step 5: Solve for x
    x = 58,508,425,178.88/218,436.80
  6. Step 6: Final answer
    x = 267,850.59

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