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Finding the Fourth Proportional to 138,766.86, 191,498.26 and 75,104.66

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Solution

The fourth proportional to 138,766.86, 191,498.26 and 75,104.66 is: 103,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,766.86 : 191,498.26 = 75,104.66 : x
  2. Step 2: Convert to fraction form
    138,766.86/191,498.26 = 75,104.66/x
  3. Step 3: Cross multiply
    138,766.86x = 191,498.26 × 75,104.66
  4. Step 4: Simplify right side
    138,766.86x = 14,382,410,562.64
  5. Step 5: Solve for x
    x = 14,382,410,562.64/138,766.86
  6. Step 6: Final answer
    x = 103,644.42

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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.