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Finding the Fourth Proportional to 136,314.80, 204,034.80 and 106,571.60

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Solution

The fourth proportional to 136,314.80, 204,034.80 and 106,571.60 is: 159,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,314.80 : 204,034.80 = 106,571.60 : x
  2. Step 2: Convert to fraction form
    136,314.80/204,034.80 = 106,571.60/x
  3. Step 3: Cross multiply
    136,314.80x = 204,034.80 × 106,571.60
  4. Step 4: Simplify right side
    136,314.80x = 21,744,315,091.68
  5. Step 5: Solve for x
    x = 21,744,315,091.68/136,314.80
  6. Step 6: Final answer
    x = 159,515.44

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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.