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Finding the Fourth Proportional to 281,910.29, 422,858.28 and 82,232.40

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Solution

The fourth proportional to 281,910.29, 422,858.28 and 82,232.40 is: 123,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,910.29 : 422,858.28 = 82,232.40 : x
  2. Step 2: Convert to fraction form
    281,910.29/422,858.28 = 82,232.40/x
  3. Step 3: Cross multiply
    281,910.29x = 422,858.28 × 82,232.40
  4. Step 4: Simplify right side
    281,910.29x = 34,772,651,224.27
  5. Step 5: Solve for x
    x = 34,772,651,224.27/281,910.29
  6. Step 6: Final answer
    x = 123,346.52

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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.