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Finding the Fourth Proportional to 138,906.84, 208,141.38 and 107,393.80

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Solution

The fourth proportional to 138,906.84, 208,141.38 and 107,393.80 is: 160,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906.84 : 208,141.38 = 107,393.80 : x
  2. Step 2: Convert to fraction form
    138,906.84/208,141.38 = 107,393.80/x
  3. Step 3: Cross multiply
    138,906.84x = 208,141.38 × 107,393.80
  4. Step 4: Simplify right side
    138,906.84x = 22,353,093,735.44
  5. Step 5: Solve for x
    x = 22,353,093,735.44/138,906.84
  6. Step 6: Final answer
    x = 160,921.48

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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.