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Finding the Fourth Proportional to 281,896.02, 422,906.22 and 82,232.04

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Solution

The fourth proportional to 281,896.02, 422,906.22 and 82,232.04 is: 123,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,896.02 : 422,906.22 = 82,232.04 : x
  2. Step 2: Convert to fraction form
    281,896.02/422,906.22 = 82,232.04/x
  3. Step 3: Cross multiply
    281,896.02x = 422,906.22 × 82,232.04
  4. Step 4: Simplify right side
    281,896.02x = 34,776,441,199.29
  5. Step 5: Solve for x
    x = 34,776,441,199.29/281,896.02
  6. Step 6: Final answer
    x = 123,366.20

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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.