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Finding the Fourth Proportional to 261,665.20, 392,553.60 and 149,399.20

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Solution

The fourth proportional to 261,665.20, 392,553.60 and 149,399.20 is: 224,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,665.20 : 392,553.60 = 149,399.20 : x
  2. Step 2: Convert to fraction form
    261,665.20/392,553.60 = 149,399.20/x
  3. Step 3: Cross multiply
    261,665.20x = 392,553.60 × 149,399.20
  4. Step 4: Simplify right side
    261,665.20x = 58,647,193,797.12
  5. Step 5: Solve for x
    x = 58,647,193,797.12/261,665.20
  6. Step 6: Final answer
    x = 224,130.66

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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.