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Finding the Fourth Proportional to 166,856.31, 230,261.94 and 92,265.37

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Solution

The fourth proportional to 166,856.31, 230,261.94 and 92,265.37 is: 127,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,856.31 : 230,261.94 = 92,265.37 : x
  2. Step 2: Convert to fraction form
    166,856.31/230,261.94 = 92,265.37/x
  3. Step 3: Cross multiply
    166,856.31x = 230,261.94 × 92,265.37
  4. Step 4: Simplify right side
    166,856.31x = 21,245,201,478.38
  5. Step 5: Solve for x
    x = 21,245,201,478.38/166,856.31
  6. Step 6: Final answer
    x = 127,326.33

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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.