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Finding the Fourth Proportional to 164,474, 227,016.66 and 107,255.96

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Solution

The fourth proportional to 164,474, 227,016.66 and 107,255.96 is: 148,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,474 : 227,016.66 = 107,255.96 : x
  2. Step 2: Convert to fraction form
    164,474/227,016.66 = 107,255.96/x
  3. Step 3: Cross multiply
    164,474x = 227,016.66 × 107,255.96
  4. Step 4: Simplify right side
    164,474x = 24,348,889,804.29
  5. Step 5: Solve for x
    x = 24,348,889,804.29/164,474
  6. Step 6: Final answer
    x = 148,040.97

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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.