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Finding the Fourth Proportional to 231,771.94, 347,882.11 and 111,912.93

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Solution

The fourth proportional to 231,771.94, 347,882.11 and 111,912.93 is: 167,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,771.94 : 347,882.11 = 111,912.93 : x
  2. Step 2: Convert to fraction form
    231,771.94/347,882.11 = 111,912.93/x
  3. Step 3: Cross multiply
    231,771.94x = 347,882.11 × 111,912.93
  4. Step 4: Simplify right side
    231,771.94x = 38,932,505,944.90
  5. Step 5: Solve for x
    x = 38,932,505,944.90/231,771.94
  6. Step 6: Final answer
    x = 167,977.65

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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.