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Finding the Fourth Proportional to 161,942.34, 223,481.50 and 90,327

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Solution

The fourth proportional to 161,942.34, 223,481.50 and 90,327 is: 124,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,942.34 : 223,481.50 = 90,327 : x
  2. Step 2: Convert to fraction form
    161,942.34/223,481.50 = 90,327/x
  3. Step 3: Cross multiply
    161,942.34x = 223,481.50 × 90,327
  4. Step 4: Simplify right side
    161,942.34x = 20,186,413,450.50
  5. Step 5: Solve for x
    x = 20,186,413,450.50/161,942.34
  6. Step 6: Final answer
    x = 124,651.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.