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Finding the Fourth Proportional to 140,343.84, 193,672.26 and 76,680.30

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Solution

The fourth proportional to 140,343.84, 193,672.26 and 76,680.30 is: 105,817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,343.84 : 193,672.26 = 76,680.30 : x
  2. Step 2: Convert to fraction form
    140,343.84/193,672.26 = 76,680.30/x
  3. Step 3: Cross multiply
    140,343.84x = 193,672.26 × 76,680.30
  4. Step 4: Simplify right side
    140,343.84x = 14,850,846,998.48
  5. Step 5: Solve for x
    x = 14,850,846,998.48/140,343.84
  6. Step 6: Final answer
    x = 105,817.59

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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.