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Finding the Fourth Proportional to 267,768.26, 401,653.77 and 90,276.81

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Solution

The fourth proportional to 267,768.26, 401,653.77 and 90,276.81 is: 135,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,768.26 : 401,653.77 = 90,276.81 : x
  2. Step 2: Convert to fraction form
    267,768.26/401,653.77 = 90,276.81/x
  3. Step 3: Cross multiply
    267,768.26x = 401,653.77 × 90,276.81
  4. Step 4: Simplify right side
    267,768.26x = 36,260,022,002.44
  5. Step 5: Solve for x
    x = 36,260,022,002.44/267,768.26
  6. Step 6: Final answer
    x = 135,415.68

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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.