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Finding the Fourth Proportional to 203,249.28, 280,523.22 and 117,263.78

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Solution

The fourth proportional to 203,249.28, 280,523.22 and 117,263.78 is: 161,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,249.28 : 280,523.22 = 117,263.78 : x
  2. Step 2: Convert to fraction form
    203,249.28/280,523.22 = 117,263.78/x
  3. Step 3: Cross multiply
    203,249.28x = 280,523.22 × 117,263.78
  4. Step 4: Simplify right side
    203,249.28x = 32,895,213,154.97
  5. Step 5: Solve for x
    x = 32,895,213,154.97/203,249.28
  6. Step 6: Final answer
    x = 161,846.64

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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.