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Finding the Fourth Proportional to 311,944.75, 468,124.49 and 114,952.75

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Solution

The fourth proportional to 311,944.75, 468,124.49 and 114,952.75 is: 172,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,944.75 : 468,124.49 = 114,952.75 : x
  2. Step 2: Convert to fraction form
    311,944.75/468,124.49 = 114,952.75/x
  3. Step 3: Cross multiply
    311,944.75x = 468,124.49 × 114,952.75
  4. Step 4: Simplify right side
    311,944.75x = 53,812,197,467.85
  5. Step 5: Solve for x
    x = 53,812,197,467.85/311,944.75
  6. Step 6: Final answer
    x = 172,505.54

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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.