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Finding the Fourth Proportional to 110,772, 166,227.12 and 45,108

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Solution

The fourth proportional to 110,772, 166,227.12 and 45,108 is: 67,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,772 : 166,227.12 = 45,108 : x
  2. Step 2: Convert to fraction form
    110,772/166,227.12 = 45,108/x
  3. Step 3: Cross multiply
    110,772x = 166,227.12 × 45,108
  4. Step 4: Simplify right side
    110,772x = 7,498,172,928.96
  5. Step 5: Solve for x
    x = 7,498,172,928.96/110,772
  6. Step 6: Final answer
    x = 67,690.15

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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.