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Finding the Fourth Proportional to 263,644.80, 395,729.67 and 145,371.84

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Solution

The fourth proportional to 263,644.80, 395,729.67 and 145,371.84 is: 218,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,644.80 : 395,729.67 = 145,371.84 : x
  2. Step 2: Convert to fraction form
    263,644.80/395,729.67 = 145,371.84/x
  3. Step 3: Cross multiply
    263,644.80x = 395,729.67 × 145,371.84
  4. Step 4: Simplify right side
    263,644.80x = 57,527,950,270.49
  5. Step 5: Solve for x
    x = 57,527,950,270.49/263,644.80
  6. Step 6: Final answer
    x = 218,202.48

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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.