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Finding the Fourth Proportional to 307,777.20, 461,147.40 and 149,665.20

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Solution

The fourth proportional to 307,777.20, 461,147.40 and 149,665.20 is: 224,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,777.20 : 461,147.40 = 149,665.20 : x
  2. Step 2: Convert to fraction form
    307,777.20/461,147.40 = 149,665.20/x
  3. Step 3: Cross multiply
    307,777.20x = 461,147.40 × 149,665.20
  4. Step 4: Simplify right side
    307,777.20x = 69,017,717,850.48
  5. Step 5: Solve for x
    x = 69,017,717,850.48/307,777.20
  6. Step 6: Final answer
    x = 224,245.71

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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.