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Finding the Fourth Proportional to 218,414.10, 327,621.15 and 78,122.10

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Solution

The fourth proportional to 218,414.10, 327,621.15 and 78,122.10 is: 117,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,414.10 : 327,621.15 = 78,122.10 : x
  2. Step 2: Convert to fraction form
    218,414.10/327,621.15 = 78,122.10/x
  3. Step 3: Cross multiply
    218,414.10x = 327,621.15 × 78,122.10
  4. Step 4: Simplify right side
    218,414.10x = 25,594,452,242.42
  5. Step 5: Solve for x
    x = 25,594,452,242.42/218,414.10
  6. Step 6: Final answer
    x = 117,183.15

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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.