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Finding the Fourth Proportional to 138,883.76, 191,659.42 and 75,221.82

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Solution

The fourth proportional to 138,883.76, 191,659.42 and 75,221.82 is: 103,806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,883.76 : 191,659.42 = 75,221.82 : x
  2. Step 2: Convert to fraction form
    138,883.76/191,659.42 = 75,221.82/x
  3. Step 3: Cross multiply
    138,883.76x = 191,659.42 × 75,221.82
  4. Step 4: Simplify right side
    138,883.76x = 14,416,970,392.54
  5. Step 5: Solve for x
    x = 14,416,970,392.54/138,883.76
  6. Step 6: Final answer
    x = 103,806.02

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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.