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Finding the Fourth Proportional to 189,614.12, 284,463.50 and 71,286.48

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Solution

The fourth proportional to 189,614.12, 284,463.50 and 71,286.48 is: 106,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,614.12 : 284,463.50 = 71,286.48 : x
  2. Step 2: Convert to fraction form
    189,614.12/284,463.50 = 71,286.48/x
  3. Step 3: Cross multiply
    189,614.12x = 284,463.50 × 71,286.48
  4. Step 4: Simplify right side
    189,614.12x = 20,278,401,247.05
  5. Step 5: Solve for x
    x = 20,278,401,247.05/189,614.12
  6. Step 6: Final answer
    x = 106,945.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.