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Finding the Fourth Proportional to 254,201.40, 381,229.20 and 76,665.60

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Solution

The fourth proportional to 254,201.40, 381,229.20 and 76,665.60 is: 114,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,201.40 : 381,229.20 = 76,665.60 : x
  2. Step 2: Convert to fraction form
    254,201.40/381,229.20 = 76,665.60/x
  3. Step 3: Cross multiply
    254,201.40x = 381,229.20 × 76,665.60
  4. Step 4: Simplify right side
    254,201.40x = 29,227,165,355.52
  5. Step 5: Solve for x
    x = 29,227,165,355.52/254,201.40
  6. Step 6: Final answer
    x = 114,976.41

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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.