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Finding the Fourth Proportional to 154,211.54, 231,286.32 and 54,375.80

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Solution

The fourth proportional to 154,211.54, 231,286.32 and 54,375.80 is: 81,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,211.54 : 231,286.32 = 54,375.80 : x
  2. Step 2: Convert to fraction form
    154,211.54/231,286.32 = 54,375.80/x
  3. Step 3: Cross multiply
    154,211.54x = 231,286.32 × 54,375.80
  4. Step 4: Simplify right side
    154,211.54x = 12,576,377,522.62
  5. Step 5: Solve for x
    x = 12,576,377,522.62/154,211.54
  6. Step 6: Final answer
    x = 81,552.77

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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.