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Finding the Fourth Proportional to 296,104.73, 444,354.14 and 161,202.81

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Solution

The fourth proportional to 296,104.73, 444,354.14 and 161,202.81 is: 241,911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,104.73 : 444,354.14 = 161,202.81 : x
  2. Step 2: Convert to fraction form
    296,104.73/444,354.14 = 161,202.81/x
  3. Step 3: Cross multiply
    296,104.73x = 444,354.14 × 161,202.81
  4. Step 4: Simplify right side
    296,104.73x = 71,631,135,197.12
  5. Step 5: Solve for x
    x = 71,631,135,197.12/296,104.73
  6. Step 6: Final answer
    x = 241,911.49

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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.