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Finding the Fourth Proportional to 138,057.96, 190,519.02 and 78,441.96

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Solution

The fourth proportional to 138,057.96, 190,519.02 and 78,441.96 is: 108,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,057.96 : 190,519.02 = 78,441.96 : x
  2. Step 2: Convert to fraction form
    138,057.96/190,519.02 = 78,441.96/x
  3. Step 3: Cross multiply
    138,057.96x = 190,519.02 × 78,441.96
  4. Step 4: Simplify right side
    138,057.96x = 14,944,685,346.08
  5. Step 5: Solve for x
    x = 14,944,685,346.08/138,057.96
  6. Step 6: Final answer
    x = 108,249.36

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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.