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Finding the Fourth Proportional to 136,845.88, 188,843.64 and 76,414.84

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Solution

The fourth proportional to 136,845.88, 188,843.64 and 76,414.84 is: 105,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,845.88 : 188,843.64 = 76,414.84 : x
  2. Step 2: Convert to fraction form
    136,845.88/188,843.64 = 76,414.84/x
  3. Step 3: Cross multiply
    136,845.88x = 188,843.64 × 76,414.84
  4. Step 4: Simplify right side
    136,845.88x = 14,430,456,535.62
  5. Step 5: Solve for x
    x = 14,430,456,535.62/136,845.88
  6. Step 6: Final answer
    x = 105,450.43

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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.