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Finding the Fourth Proportional to 252,237.64, 347,891.02 and 161,601.97

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Solution

The fourth proportional to 252,237.64, 347,891.02 and 161,601.97 is: 222,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,237.64 : 347,891.02 = 161,601.97 : x
  2. Step 2: Convert to fraction form
    252,237.64/347,891.02 = 161,601.97/x
  3. Step 3: Cross multiply
    252,237.64x = 347,891.02 × 161,601.97
  4. Step 4: Simplify right side
    252,237.64x = 56,219,874,177.31
  5. Step 5: Solve for x
    x = 56,219,874,177.31/252,237.64
  6. Step 6: Final answer
    x = 222,884.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.