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Finding the Fourth Proportional to 140,872.47, 194,403.62 and 76,343.49

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Solution

The fourth proportional to 140,872.47, 194,403.62 and 76,343.49 is: 105,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,872.47 : 194,403.62 = 76,343.49 : x
  2. Step 2: Convert to fraction form
    140,872.47/194,403.62 = 76,343.49/x
  3. Step 3: Cross multiply
    140,872.47x = 194,403.62 × 76,343.49
  4. Step 4: Simplify right side
    140,872.47x = 14,841,450,819.43
  5. Step 5: Solve for x
    x = 14,841,450,819.43/140,872.47
  6. Step 6: Final answer
    x = 105,353.81

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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.