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Finding the Fourth Proportional to 140,634.72, 194,062.32 and 80,202.24

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Solution

The fourth proportional to 140,634.72, 194,062.32 and 80,202.24 is: 110,671.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,634.72 : 194,062.32 = 80,202.24 : x
  2. Step 2: Convert to fraction form
    140,634.72/194,062.32 = 80,202.24/x
  3. Step 3: Cross multiply
    140,634.72x = 194,062.32 × 80,202.24
  4. Step 4: Simplify right side
    140,634.72x = 15,564,232,763.60
  5. Step 5: Solve for x
    x = 15,564,232,763.60/140,634.72
  6. Step 6: Final answer
    x = 110,671.34

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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.