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Finding the Fourth Proportional to 140,851.96, 194,377.23 and 77,188.39

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Solution

The fourth proportional to 140,851.96, 194,377.23 and 77,188.39 is: 106,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,851.96 : 194,377.23 = 77,188.39 : x
  2. Step 2: Convert to fraction form
    140,851.96/194,377.23 = 77,188.39/x
  3. Step 3: Cross multiply
    140,851.96x = 194,377.23 × 77,188.39
  4. Step 4: Simplify right side
    140,851.96x = 15,003,665,436.36
  5. Step 5: Solve for x
    x = 15,003,665,436.36/140,851.96
  6. Step 6: Final answer
    x = 106,520.81

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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.