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Finding the Fourth Proportional to 140,329, 193,654.02 and 80,713

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Solution

The fourth proportional to 140,329, 193,654.02 and 80,713 is: 111,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,329 : 193,654.02 = 80,713 : x
  2. Step 2: Convert to fraction form
    140,329/193,654.02 = 80,713/x
  3. Step 3: Cross multiply
    140,329x = 193,654.02 × 80,713
  4. Step 4: Simplify right side
    140,329x = 15,630,396,916.26
  5. Step 5: Solve for x
    x = 15,630,396,916.26/140,329
  6. Step 6: Final answer
    x = 111,383.94

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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.