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Finding the Fourth Proportional to 263,988.78, 364,311.69 and 149,284.59

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Solution

The fourth proportional to 263,988.78, 364,311.69 and 149,284.59 is: 206,016.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,988.78 : 364,311.69 = 149,284.59 : x
  2. Step 2: Convert to fraction form
    263,988.78/364,311.69 = 149,284.59/x
  3. Step 3: Cross multiply
    263,988.78x = 364,311.69 × 149,284.59
  4. Step 4: Simplify right side
    263,988.78x = 54,386,121,273.86
  5. Step 5: Solve for x
    x = 54,386,121,273.86/263,988.78
  6. Step 6: Final answer
    x = 206,016.79

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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.