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Finding the Fourth Proportional to 138,940.80, 191,738.49 and 75,278.55

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Solution

The fourth proportional to 138,940.80, 191,738.49 and 75,278.55 is: 103,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.80 : 191,738.49 = 75,278.55 : x
  2. Step 2: Convert to fraction form
    138,940.80/191,738.49 = 75,278.55/x
  3. Step 3: Cross multiply
    138,940.80x = 191,738.49 × 75,278.55
  4. Step 4: Simplify right side
    138,940.80x = 14,433,795,506.39
  5. Step 5: Solve for x
    x = 14,433,795,506.39/138,940.80
  6. Step 6: Final answer
    x = 103,884.50

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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.