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Finding the Fourth Proportional to 138,932.82, 191,738.55 and 78,515.99

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Solution

The fourth proportional to 138,932.82, 191,738.55 and 78,515.99 is: 108,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932.82 : 191,738.55 = 78,515.99 : x
  2. Step 2: Convert to fraction form
    138,932.82/191,738.55 = 78,515.99/x
  3. Step 3: Cross multiply
    138,932.82x = 191,738.55 × 78,515.99
  4. Step 4: Simplify right side
    138,932.82x = 15,054,542,259.33
  5. Step 5: Solve for x
    x = 15,054,542,259.33/138,932.82
  6. Step 6: Final answer
    x = 108,358.43

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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.