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Finding the Fourth Proportional to 135,883.50, 202,910.19 and 110,972.96

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Solution

The fourth proportional to 135,883.50, 202,910.19 and 110,972.96 is: 165,712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,883.50 : 202,910.19 = 110,972.96 : x
  2. Step 2: Convert to fraction form
    135,883.50/202,910.19 = 110,972.96/x
  3. Step 3: Cross multiply
    135,883.50x = 202,910.19 × 110,972.96
  4. Step 4: Simplify right side
    135,883.50x = 22,517,544,398.46
  5. Step 5: Solve for x
    x = 22,517,544,398.46/135,883.50
  6. Step 6: Final answer
    x = 165,712.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.