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Finding the Fourth Proportional to 276,714.56, 381,893.24 and 161,986.28

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Solution

The fourth proportional to 276,714.56, 381,893.24 and 161,986.28 is: 223,556.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,714.56 : 381,893.24 = 161,986.28 : x
  2. Step 2: Convert to fraction form
    276,714.56/381,893.24 = 161,986.28/x
  3. Step 3: Cross multiply
    276,714.56x = 381,893.24 × 161,986.28
  4. Step 4: Simplify right side
    276,714.56x = 61,861,465,304.75
  5. Step 5: Solve for x
    x = 61,861,465,304.75/276,714.56
  6. Step 6: Final answer
    x = 223,556.96

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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.