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Finding the Fourth Proportional to 274,009.20, 378,147 and 166,561.60

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Solution

The fourth proportional to 274,009.20, 378,147 and 166,561.60 is: 229,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,009.20 : 378,147 = 166,561.60 : x
  2. Step 2: Convert to fraction form
    274,009.20/378,147 = 166,561.60/x
  3. Step 3: Cross multiply
    274,009.20x = 378,147 × 166,561.60
  4. Step 4: Simplify right side
    274,009.20x = 62,984,769,355.20
  5. Step 5: Solve for x
    x = 62,984,769,355.20/274,009.20
  6. Step 6: Final answer
    x = 229,863.70

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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.