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Finding the Fourth Proportional to 145,439.10, 218,163.78 and 40,266

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Solution

The fourth proportional to 145,439.10, 218,163.78 and 40,266 is: 60,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,439.10 : 218,163.78 = 40,266 : x
  2. Step 2: Convert to fraction form
    145,439.10/218,163.78 = 40,266/x
  3. Step 3: Cross multiply
    145,439.10x = 218,163.78 × 40,266
  4. Step 4: Simplify right side
    145,439.10x = 8,784,582,765.48
  5. Step 5: Solve for x
    x = 8,784,582,765.48/145,439.10
  6. Step 6: Final answer
    x = 60,400.42

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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.