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Finding the Fourth Proportional to 281,694.24, 422,556.75 and 71,334

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Solution

The fourth proportional to 281,694.24, 422,556.75 and 71,334 is: 107,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,694.24 : 422,556.75 = 71,334 : x
  2. Step 2: Convert to fraction form
    281,694.24/422,556.75 = 71,334/x
  3. Step 3: Cross multiply
    281,694.24x = 422,556.75 × 71,334
  4. Step 4: Simplify right side
    281,694.24x = 30,142,663,204.50
  5. Step 5: Solve for x
    x = 30,142,663,204.50/281,694.24
  6. Step 6: Final answer
    x = 107,004.90

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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.