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Finding the Fourth Proportional to 137,159.20, 205,753.92 and 43,643.12

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Solution

The fourth proportional to 137,159.20, 205,753.92 and 43,643.12 is: 65,469.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,159.20 : 205,753.92 = 43,643.12 : x
  2. Step 2: Convert to fraction form
    137,159.20/205,753.92 = 43,643.12/x
  3. Step 3: Cross multiply
    137,159.20x = 205,753.92 × 43,643.12
  4. Step 4: Simplify right side
    137,159.20x = 8,979,743,021.03
  5. Step 5: Solve for x
    x = 8,979,743,021.03/137,159.20
  6. Step 6: Final answer
    x = 65,469.49

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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.