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Finding the Fourth Proportional to 140,517.30, 193,918.51 and 76,855.10

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Solution

The fourth proportional to 140,517.30, 193,918.51 and 76,855.10 is: 106,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,517.30 : 193,918.51 = 76,855.10 : x
  2. Step 2: Convert to fraction form
    140,517.30/193,918.51 = 76,855.10/x
  3. Step 3: Cross multiply
    140,517.30x = 193,918.51 × 76,855.10
  4. Step 4: Simplify right side
    140,517.30x = 14,903,625,604.38
  5. Step 5: Solve for x
    x = 14,903,625,604.38/140,517.30
  6. Step 6: Final answer
    x = 106,062.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.