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Finding the Fourth Proportional to 218,311.20, 327,466.80 and 189,442.80

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Solution

The fourth proportional to 218,311.20, 327,466.80 and 189,442.80 is: 284,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,311.20 : 327,466.80 = 189,442.80 : x
  2. Step 2: Convert to fraction form
    218,311.20/327,466.80 = 189,442.80/x
  3. Step 3: Cross multiply
    218,311.20x = 327,466.80 × 189,442.80
  4. Step 4: Simplify right side
    218,311.20x = 62,036,227,499.04
  5. Step 5: Solve for x
    x = 62,036,227,499.04/218,311.20
  6. Step 6: Final answer
    x = 284,164.20

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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.