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Finding the Fourth Proportional to 132,343.83, 198,494.84 and 109,997.97

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Solution

The fourth proportional to 132,343.83, 198,494.84 and 109,997.97 is: 164,979.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,343.83 : 198,494.84 = 109,997.97 : x
  2. Step 2: Convert to fraction form
    132,343.83/198,494.84 = 109,997.97/x
  3. Step 3: Cross multiply
    132,343.83x = 198,494.84 × 109,997.97
  4. Step 4: Simplify right side
    132,343.83x = 21,834,028,905.49
  5. Step 5: Solve for x
    x = 21,834,028,905.49/132,343.83
  6. Step 6: Final answer
    x = 164,979.58

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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.