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Finding the Fourth Proportional to 136,576, 204,894.48 and 41,819.48

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Solution

The fourth proportional to 136,576, 204,894.48 and 41,819.48 is: 62,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,576 : 204,894.48 = 41,819.48 : x
  2. Step 2: Convert to fraction form
    136,576/204,894.48 = 41,819.48/x
  3. Step 3: Cross multiply
    136,576x = 204,894.48 × 41,819.48
  4. Step 4: Simplify right side
    136,576x = 8,568,580,608.47
  5. Step 5: Solve for x
    x = 8,568,580,608.47/136,576
  6. Step 6: Final answer
    x = 62,738.55

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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.