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Finding the Fourth Proportional to 297,993.75, 411,231.38 and 163,857.75

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Solution

The fourth proportional to 297,993.75, 411,231.38 and 163,857.75 is: 226,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,993.75 : 411,231.38 = 163,857.75 : x
  2. Step 2: Convert to fraction form
    297,993.75/411,231.38 = 163,857.75/x
  3. Step 3: Cross multiply
    297,993.75x = 411,231.38 × 163,857.75
  4. Step 4: Simplify right side
    297,993.75x = 67,383,448,656.20
  5. Step 5: Solve for x
    x = 67,383,448,656.20/297,993.75
  6. Step 6: Final answer
    x = 226,123.70

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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.