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Finding the Fourth Proportional to 164,811.30, 227,375.26 and 107,517.97

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Solution

The fourth proportional to 164,811.30, 227,375.26 and 107,517.97 is: 148,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,811.30 : 227,375.26 = 107,517.97 : x
  2. Step 2: Convert to fraction form
    164,811.30/227,375.26 = 107,517.97/x
  3. Step 3: Cross multiply
    164,811.30x = 227,375.26 × 107,517.97
  4. Step 4: Simplify right side
    164,811.30x = 24,446,926,383.42
  5. Step 5: Solve for x
    x = 24,446,926,383.42/164,811.30
  6. Step 6: Final answer
    x = 148,332.83

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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.