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Finding the Fourth Proportional to 263,163.98, 363,168.46 and 145,294.71

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Solution

The fourth proportional to 263,163.98, 363,168.46 and 145,294.71 is: 200,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,163.98 : 363,168.46 = 145,294.71 : x
  2. Step 2: Convert to fraction form
    263,163.98/363,168.46 = 145,294.71/x
  3. Step 3: Cross multiply
    263,163.98x = 363,168.46 × 145,294.71
  4. Step 4: Simplify right side
    263,163.98x = 52,766,454,896.58
  5. Step 5: Solve for x
    x = 52,766,454,896.58/263,163.98
  6. Step 6: Final answer
    x = 200,507.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.