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Finding the Fourth Proportional to 142,437.20, 213,809.40 and 80,229.20

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Solution

The fourth proportional to 142,437.20, 213,809.40 and 80,229.20 is: 120,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,437.20 : 213,809.40 = 80,229.20 : x
  2. Step 2: Convert to fraction form
    142,437.20/213,809.40 = 80,229.20/x
  3. Step 3: Cross multiply
    142,437.20x = 213,809.40 × 80,229.20
  4. Step 4: Simplify right side
    142,437.20x = 17,153,757,114.48
  5. Step 5: Solve for x
    x = 17,153,757,114.48/142,437.20
  6. Step 6: Final answer
    x = 120,430.32

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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.