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Finding the Fourth Proportional to 140,684.62, 194,126.70 and 80,251.66

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Solution

The fourth proportional to 140,684.62, 194,126.70 and 80,251.66 is: 110,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,684.62 : 194,126.70 = 80,251.66 : x
  2. Step 2: Convert to fraction form
    140,684.62/194,126.70 = 80,251.66/x
  3. Step 3: Cross multiply
    140,684.62x = 194,126.70 × 80,251.66
  4. Step 4: Simplify right side
    140,684.62x = 15,578,990,243.22
  5. Step 5: Solve for x
    x = 15,578,990,243.22/140,684.62
  6. Step 6: Final answer
    x = 110,736.98

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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.