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Finding the Fourth Proportional to 281,762.52, 422,709.30 and 82,104.12

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Solution

The fourth proportional to 281,762.52, 422,709.30 and 82,104.12 is: 123,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,762.52 : 422,709.30 = 82,104.12 : x
  2. Step 2: Convert to fraction form
    281,762.52/422,709.30 = 82,104.12/x
  3. Step 3: Cross multiply
    281,762.52x = 422,709.30 × 82,104.12
  4. Step 4: Simplify right side
    281,762.52x = 34,706,175,092.32
  5. Step 5: Solve for x
    x = 34,706,175,092.32/281,762.52
  6. Step 6: Final answer
    x = 123,175.27

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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.