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Finding the Fourth Proportional to 150,665, 225,991.02 and 45,480.83

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Solution

The fourth proportional to 150,665, 225,991.02 and 45,480.83 is: 68,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,665 : 225,991.02 = 45,480.83 : x
  2. Step 2: Convert to fraction form
    150,665/225,991.02 = 45,480.83/x
  3. Step 3: Cross multiply
    150,665x = 225,991.02 × 45,480.83
  4. Step 4: Simplify right side
    150,665x = 10,278,259,162.15
  5. Step 5: Solve for x
    x = 10,278,259,162.15/150,665
  6. Step 6: Final answer
    x = 68,219.29

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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.