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Finding the Fourth Proportional to 267,698.25, 401,584.44 and 90,256

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Solution

The fourth proportional to 267,698.25, 401,584.44 and 90,256 is: 135,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,698.25 : 401,584.44 = 90,256 : x
  2. Step 2: Convert to fraction form
    267,698.25/401,584.44 = 90,256/x
  3. Step 3: Cross multiply
    267,698.25x = 401,584.44 × 90,256
  4. Step 4: Simplify right side
    267,698.25x = 36,245,405,216.64
  5. Step 5: Solve for x
    x = 36,245,405,216.64/267,698.25
  6. Step 6: Final answer
    x = 135,396.50

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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.