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Finding the Fourth Proportional to 272,190.96, 407,983.89 and 205,414.56

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Solution

The fourth proportional to 272,190.96, 407,983.89 and 205,414.56 is: 307,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,190.96 : 407,983.89 = 205,414.56 : x
  2. Step 2: Convert to fraction form
    272,190.96/407,983.89 = 205,414.56/x
  3. Step 3: Cross multiply
    272,190.96x = 407,983.89 × 205,414.56
  4. Step 4: Simplify right side
    272,190.96x = 83,805,831,251.44
  5. Step 5: Solve for x
    x = 83,805,831,251.44/272,190.96
  6. Step 6: Final answer
    x = 307,893.51

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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.