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Finding the Fourth Proportional to 274,205.52, 378,446.40 and 166,809.24

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Solution

The fourth proportional to 274,205.52, 378,446.40 and 166,809.24 is: 230,222.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,205.52 : 378,446.40 = 166,809.24 : x
  2. Step 2: Convert to fraction form
    274,205.52/378,446.40 = 166,809.24/x
  3. Step 3: Cross multiply
    274,205.52x = 378,446.40 × 166,809.24
  4. Step 4: Simplify right side
    274,205.52x = 63,128,356,364.74
  5. Step 5: Solve for x
    x = 63,128,356,364.74/274,205.52
  6. Step 6: Final answer
    x = 230,222.78

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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.