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Finding the Fourth Proportional to 263,006.80, 394,769.40 and 130,037.20

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Solution

The fourth proportional to 263,006.80, 394,769.40 and 130,037.20 is: 195,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,006.80 : 394,769.40 = 130,037.20 : x
  2. Step 2: Convert to fraction form
    263,006.80/394,769.40 = 130,037.20/x
  3. Step 3: Cross multiply
    263,006.80x = 394,769.40 × 130,037.20
  4. Step 4: Simplify right side
    263,006.80x = 51,334,707,421.68
  5. Step 5: Solve for x
    x = 51,334,707,421.68/263,006.80
  6. Step 6: Final answer
    x = 195,183.96

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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.