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Finding the Fourth Proportional to 263,679.52, 363,942.84 and 150,567.88

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Solution

The fourth proportional to 263,679.52, 363,942.84 and 150,567.88 is: 207,820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,679.52 : 363,942.84 = 150,567.88 : x
  2. Step 2: Convert to fraction form
    263,679.52/363,942.84 = 150,567.88/x
  3. Step 3: Cross multiply
    263,679.52x = 363,942.84 × 150,567.88
  4. Step 4: Simplify right side
    263,679.52x = 54,798,101,859.98
  5. Step 5: Solve for x
    x = 54,798,101,859.98/263,679.52
  6. Step 6: Final answer
    x = 207,820.85

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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.