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Finding the Fourth Proportional to 281,887.52, 422,893.48 and 82,223.53

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Solution

The fourth proportional to 281,887.52, 422,893.48 and 82,223.53 is: 123,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,887.52 : 422,893.48 = 82,223.53 : x
  2. Step 2: Convert to fraction form
    281,887.52/422,893.48 = 82,223.53/x
  3. Step 3: Cross multiply
    281,887.52x = 422,893.48 × 82,223.53
  4. Step 4: Simplify right side
    281,887.52x = 34,771,794,739.58
  5. Step 5: Solve for x
    x = 34,771,794,739.58/281,887.52
  6. Step 6: Final answer
    x = 123,353.44

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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.