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Finding the Fourth Proportional to 138,769.95, 191,503.22 and 78,343.05

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Solution

The fourth proportional to 138,769.95, 191,503.22 and 78,343.05 is: 108,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,769.95 : 191,503.22 = 78,343.05 : x
  2. Step 2: Convert to fraction form
    138,769.95/191,503.22 = 78,343.05/x
  3. Step 3: Cross multiply
    138,769.95x = 191,503.22 × 78,343.05
  4. Step 4: Simplify right side
    138,769.95x = 15,002,945,947.91
  5. Step 5: Solve for x
    x = 15,002,945,947.91/138,769.95
  6. Step 6: Final answer
    x = 108,113.80

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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.