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Finding the Fourth Proportional to 138,540.42, 191,181.95 and 78,110.54

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Solution

The fourth proportional to 138,540.42, 191,181.95 and 78,110.54 is: 107,790.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,540.42 : 191,181.95 = 78,110.54 : x
  2. Step 2: Convert to fraction form
    138,540.42/191,181.95 = 78,110.54/x
  3. Step 3: Cross multiply
    138,540.42x = 191,181.95 × 78,110.54
  4. Step 4: Simplify right side
    138,540.42x = 14,933,324,396.84
  5. Step 5: Solve for x
    x = 14,933,324,396.84/138,540.42
  6. Step 6: Final answer
    x = 107,790.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.