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Finding the Fourth Proportional to 144,542.20, 199,463.22 and 80,014.24

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Solution

The fourth proportional to 144,542.20, 199,463.22 and 80,014.24 is: 110,416.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,542.20 : 199,463.22 = 80,014.24 : x
  2. Step 2: Convert to fraction form
    144,542.20/199,463.22 = 80,014.24/x
  3. Step 3: Cross multiply
    144,542.20x = 199,463.22 × 80,014.24
  4. Step 4: Simplify right side
    144,542.20x = 15,959,897,956.25
  5. Step 5: Solve for x
    x = 15,959,897,956.25/144,542.20
  6. Step 6: Final answer
    x = 110,416.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.