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Finding the Fourth Proportional to 138,832.68, 191,568.42 and 78,402.12

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Solution

The fourth proportional to 138,832.68, 191,568.42 and 78,402.12 is: 108,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,832.68 : 191,568.42 = 78,402.12 : x
  2. Step 2: Convert to fraction form
    138,832.68/191,568.42 = 78,402.12/x
  3. Step 3: Cross multiply
    138,832.68x = 191,568.42 × 78,402.12
  4. Step 4: Simplify right side
    138,832.68x = 15,019,370,253.05
  5. Step 5: Solve for x
    x = 15,019,370,253.05/138,832.68
  6. Step 6: Final answer
    x = 108,183.25

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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.