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Finding the Fourth Proportional to 263,859.12, 364,188.96 and 150,747.48

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Solution

The fourth proportional to 263,859.12, 364,188.96 and 150,747.48 is: 208,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,859.12 : 364,188.96 = 150,747.48 : x
  2. Step 2: Convert to fraction form
    263,859.12/364,188.96 = 150,747.48/x
  3. Step 3: Cross multiply
    263,859.12x = 364,188.96 × 150,747.48
  4. Step 4: Simplify right side
    263,859.12x = 54,900,567,963.82
  5. Step 5: Solve for x
    x = 54,900,567,963.82/263,859.12
  6. Step 6: Final answer
    x = 208,067.73

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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.