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Finding the Fourth Proportional to 263,393.70, 394,993.35 and 130,229.70

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Solution

The fourth proportional to 263,393.70, 394,993.35 and 130,229.70 is: 195,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,393.70 : 394,993.35 = 130,229.70 : x
  2. Step 2: Convert to fraction form
    263,393.70/394,993.35 = 130,229.70/x
  3. Step 3: Cross multiply
    263,393.70x = 394,993.35 × 130,229.70
  4. Step 4: Simplify right side
    263,393.70x = 51,439,865,472.50
  5. Step 5: Solve for x
    x = 51,439,865,472.50/263,393.70
  6. Step 6: Final answer
    x = 195,296.49

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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.