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Finding the Fourth Proportional to 140,912.60, 194,460.98 and 80,491.24

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Solution

The fourth proportional to 140,912.60, 194,460.98 and 80,491.24 is: 111,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,912.60 : 194,460.98 = 80,491.24 : x
  2. Step 2: Convert to fraction form
    140,912.60/194,460.98 = 80,491.24/x
  3. Step 3: Cross multiply
    140,912.60x = 194,460.98 × 80,491.24
  4. Step 4: Simplify right side
    140,912.60x = 15,652,405,411.82
  5. Step 5: Solve for x
    x = 15,652,405,411.82/140,912.60
  6. Step 6: Final answer
    x = 111,078.82

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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.