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Finding the Fourth Proportional to 138,940.80, 191,737.92 and 75,278.64

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Solution

The fourth proportional to 138,940.80, 191,737.92 and 75,278.64 is: 103,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,940.80 : 191,737.92 = 75,278.64 : x
  2. Step 2: Convert to fraction form
    138,940.80/191,737.92 = 75,278.64/x
  3. Step 3: Cross multiply
    138,940.80x = 191,737.92 × 75,278.64
  4. Step 4: Simplify right side
    138,940.80x = 14,433,769,854.03
  5. Step 5: Solve for x
    x = 14,433,769,854.03/138,940.80
  6. Step 6: Final answer
    x = 103,884.32

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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.