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Finding the Fourth Proportional to 140,563.24, 193,963.30 and 80,129

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Solution

The fourth proportional to 140,563.24, 193,963.30 and 80,129 is: 110,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,563.24 : 193,963.30 = 80,129 : x
  2. Step 2: Convert to fraction form
    140,563.24/193,963.30 = 80,129/x
  3. Step 3: Cross multiply
    140,563.24x = 193,963.30 × 80,129
  4. Step 4: Simplify right side
    140,563.24x = 15,542,085,265.70
  5. Step 5: Solve for x
    x = 15,542,085,265.70/140,563.24
  6. Step 6: Final answer
    x = 110,570.06

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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.