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Finding the Fourth Proportional to 140,380.39, 193,738.30 and 76,727.76

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Solution

The fourth proportional to 140,380.39, 193,738.30 and 76,727.76 is: 105,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,380.39 : 193,738.30 = 76,727.76 : x
  2. Step 2: Convert to fraction form
    140,380.39/193,738.30 = 76,727.76/x
  3. Step 3: Cross multiply
    140,380.39x = 193,738.30 × 76,727.76
  4. Step 4: Simplify right side
    140,380.39x = 14,865,104,866.87
  5. Step 5: Solve for x
    x = 14,865,104,866.87/140,380.39
  6. Step 6: Final answer
    x = 105,891.60

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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.