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Finding the Fourth Proportional to 138,213.82, 207,189.37 and 54,027.96

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Solution

The fourth proportional to 138,213.82, 207,189.37 and 54,027.96 is: 80,990.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213.82 : 207,189.37 = 54,027.96 : x
  2. Step 2: Convert to fraction form
    138,213.82/207,189.37 = 54,027.96/x
  3. Step 3: Cross multiply
    138,213.82x = 207,189.37 × 54,027.96
  4. Step 4: Simplify right side
    138,213.82x = 11,194,018,994.79
  5. Step 5: Solve for x
    x = 11,194,018,994.79/138,213.82
  6. Step 6: Final answer
    x = 80,990.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.