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Finding the Fourth Proportional to 148,161.78, 204,463.38 and 81,093.78

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Solution

The fourth proportional to 148,161.78, 204,463.38 and 81,093.78 is: 111,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,161.78 : 204,463.38 = 81,093.78 : x
  2. Step 2: Convert to fraction form
    148,161.78/204,463.38 = 81,093.78/x
  3. Step 3: Cross multiply
    148,161.78x = 204,463.38 × 81,093.78
  4. Step 4: Simplify right side
    148,161.78x = 16,580,708,355.78
  5. Step 5: Solve for x
    x = 16,580,708,355.78/148,161.78
  6. Step 6: Final answer
    x = 111,909.48

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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.