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Finding the Fourth Proportional to 232,201.80, 347,974.65 and 161,999.10

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Solution

The fourth proportional to 232,201.80, 347,974.65 and 161,999.10 is: 242,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,201.80 : 347,974.65 = 161,999.10 : x
  2. Step 2: Convert to fraction form
    232,201.80/347,974.65 = 161,999.10/x
  3. Step 3: Cross multiply
    232,201.80x = 347,974.65 × 161,999.10
  4. Step 4: Simplify right side
    232,201.80x = 56,371,580,122.82
  5. Step 5: Solve for x
    x = 56,371,580,122.82/232,201.80
  6. Step 6: Final answer
    x = 242,769.78

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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.