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Finding the Fourth Proportional to 204,911.96, 307,294 and 86,592.44

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Solution

The fourth proportional to 204,911.96, 307,294 and 86,592.44 is: 129,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,911.96 : 307,294 = 86,592.44 : x
  2. Step 2: Convert to fraction form
    204,911.96/307,294 = 86,592.44/x
  3. Step 3: Cross multiply
    204,911.96x = 307,294 × 86,592.44
  4. Step 4: Simplify right side
    204,911.96x = 26,609,337,257.36
  5. Step 5: Solve for x
    x = 26,609,337,257.36/204,911.96
  6. Step 6: Final answer
    x = 129,857.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.