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Finding the Fourth Proportional to 159,195.52, 238,845.12 and 76,096

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Solution

The fourth proportional to 159,195.52, 238,845.12 and 76,096 is: 114,168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,195.52 : 238,845.12 = 76,096 : x
  2. Step 2: Convert to fraction form
    159,195.52/238,845.12 = 76,096/x
  3. Step 3: Cross multiply
    159,195.52x = 238,845.12 × 76,096
  4. Step 4: Simplify right side
    159,195.52x = 18,175,158,251.52
  5. Step 5: Solve for x
    x = 18,175,158,251.52/159,195.52
  6. Step 6: Final answer
    x = 114,168.78

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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.