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Finding the Fourth Proportional to 263,361.60, 394,696.80 and 105,460.80

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Solution

The fourth proportional to 263,361.60, 394,696.80 and 105,460.80 is: 158,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,361.60 : 394,696.80 = 105,460.80 : x
  2. Step 2: Convert to fraction form
    263,361.60/394,696.80 = 105,460.80/x
  3. Step 3: Cross multiply
    263,361.60x = 394,696.80 × 105,460.80
  4. Step 4: Simplify right side
    263,361.60x = 41,625,040,285.44
  5. Step 5: Solve for x
    x = 41,625,040,285.44/263,361.60
  6. Step 6: Final answer
    x = 158,052.81

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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.