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Finding the Fourth Proportional to 154,767.52, 231,840.24 and 80,740

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Solution

The fourth proportional to 154,767.52, 231,840.24 and 80,740 is: 120,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,767.52 : 231,840.24 = 80,740 : x
  2. Step 2: Convert to fraction form
    154,767.52/231,840.24 = 80,740/x
  3. Step 3: Cross multiply
    154,767.52x = 231,840.24 × 80,740
  4. Step 4: Simplify right side
    154,767.52x = 18,718,780,977.60
  5. Step 5: Solve for x
    x = 18,718,780,977.60/154,767.52
  6. Step 6: Final answer
    x = 120,947.73

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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.