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Finding the Fourth Proportional to 148,102.38, 204,392.25 and 84,441.78

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Solution

The fourth proportional to 148,102.38, 204,392.25 and 84,441.78 is: 116,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,102.38 : 204,392.25 = 84,441.78 : x
  2. Step 2: Convert to fraction form
    148,102.38/204,392.25 = 84,441.78/x
  3. Step 3: Cross multiply
    148,102.38x = 204,392.25 × 84,441.78
  4. Step 4: Simplify right side
    148,102.38x = 17,259,245,408.21
  5. Step 5: Solve for x
    x = 17,259,245,408.21/148,102.38
  6. Step 6: Final answer
    x = 116,535.91

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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.