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Finding the Fourth Proportional to 142,657.20, 214,139.40 and 80,449.20

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Solution

The fourth proportional to 142,657.20, 214,139.40 and 80,449.20 is: 120,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,657.20 : 214,139.40 = 80,449.20 : x
  2. Step 2: Convert to fraction form
    142,657.20/214,139.40 = 80,449.20/x
  3. Step 3: Cross multiply
    142,657.20x = 214,139.40 × 80,449.20
  4. Step 4: Simplify right side
    142,657.20x = 17,227,343,418.48
  5. Step 5: Solve for x
    x = 17,227,343,418.48/142,657.20
  6. Step 6: Final answer
    x = 120,760.42

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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.