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Finding the Fourth Proportional to 311,956.75, 468,142.49 and 114,964.75

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Solution

The fourth proportional to 311,956.75, 468,142.49 and 114,964.75 is: 172,523.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,956.75 : 468,142.49 = 114,964.75 : x
  2. Step 2: Convert to fraction form
    311,956.75/468,142.49 = 114,964.75/x
  3. Step 3: Cross multiply
    311,956.75x = 468,142.49 × 114,964.75
  4. Step 4: Simplify right side
    311,956.75x = 53,819,884,327.23
  5. Step 5: Solve for x
    x = 53,819,884,327.23/311,956.75
  6. Step 6: Final answer
    x = 172,523.54

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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.