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Finding the Fourth Proportional to 154,115.75, 231,192.30 and 54,255.50

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Solution

The fourth proportional to 154,115.75, 231,192.30 and 54,255.50 is: 81,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,115.75 : 231,192.30 = 54,255.50 : x
  2. Step 2: Convert to fraction form
    154,115.75/231,192.30 = 54,255.50/x
  3. Step 3: Cross multiply
    154,115.75x = 231,192.30 × 54,255.50
  4. Step 4: Simplify right side
    154,115.75x = 12,543,454,410.63
  5. Step 5: Solve for x
    x = 12,543,454,410.63/154,115.75
  6. Step 6: Final answer
    x = 81,389.83

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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.