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Finding the Fourth Proportional to 227,016, 312,760.44 and 179,251.92

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Solution

The fourth proportional to 227,016, 312,760.44 and 179,251.92 is: 246,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,016 : 312,760.44 = 179,251.92 : x
  2. Step 2: Convert to fraction form
    227,016/312,760.44 = 179,251.92/x
  3. Step 3: Cross multiply
    227,016x = 312,760.44 × 179,251.92
  4. Step 4: Simplify right side
    227,016x = 56,062,909,370.04
  5. Step 5: Solve for x
    x = 56,062,909,370.04/227,016
  6. Step 6: Final answer
    x = 246,955.76

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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.