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Finding the Fourth Proportional to 138,879.54, 191,653.92 and 75,217.41

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Solution

The fourth proportional to 138,879.54, 191,653.92 and 75,217.41 is: 103,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,879.54 : 191,653.92 = 75,217.41 : x
  2. Step 2: Convert to fraction form
    138,879.54/191,653.92 = 75,217.41/x
  3. Step 3: Cross multiply
    138,879.54x = 191,653.92 × 75,217.41
  4. Step 4: Simplify right side
    138,879.54x = 14,415,711,478.75
  5. Step 5: Solve for x
    x = 14,415,711,478.75/138,879.54
  6. Step 6: Final answer
    x = 103,800.11

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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.