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Finding the Fourth Proportional to 138,924.22, 191,714.37 and 75,261.56

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Solution

The fourth proportional to 138,924.22, 191,714.37 and 75,261.56 is: 103,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,924.22 : 191,714.37 = 75,261.56 : x
  2. Step 2: Convert to fraction form
    138,924.22/191,714.37 = 75,261.56/x
  3. Step 3: Cross multiply
    138,924.22x = 191,714.37 × 75,261.56
  4. Step 4: Simplify right side
    138,924.22x = 14,428,722,757.67
  5. Step 5: Solve for x
    x = 14,428,722,757.67/138,924.22
  6. Step 6: Final answer
    x = 103,860.38

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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.