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Finding the Fourth Proportional to 226,775.64, 339,770.22 and 137,842.44

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Solution

The fourth proportional to 226,775.64, 339,770.22 and 137,842.44 is: 206,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,775.64 : 339,770.22 = 137,842.44 : x
  2. Step 2: Convert to fraction form
    226,775.64/339,770.22 = 137,842.44/x
  3. Step 3: Cross multiply
    226,775.64x = 339,770.22 × 137,842.44
  4. Step 4: Simplify right side
    226,775.64x = 46,834,756,164.14
  5. Step 5: Solve for x
    x = 46,834,756,164.14/226,775.64
  6. Step 6: Final answer
    x = 206,524.63

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1.5x scale

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.