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Finding the Fourth Proportional to 203,523.28, 280,846.92 and 114,082

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Solution

The fourth proportional to 203,523.28, 280,846.92 and 114,082 is: 157,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,523.28 : 280,846.92 = 114,082 : x
  2. Step 2: Convert to fraction form
    203,523.28/280,846.92 = 114,082/x
  3. Step 3: Cross multiply
    203,523.28x = 280,846.92 × 114,082
  4. Step 4: Simplify right side
    203,523.28x = 32,039,578,327.44
  5. Step 5: Solve for x
    x = 32,039,578,327.44/203,523.28
  6. Step 6: Final answer
    x = 157,424.64

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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.