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Finding the Fourth Proportional to 166,538, 229,826.09 and 91,086.50

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Solution

The fourth proportional to 166,538, 229,826.09 and 91,086.50 is: 125,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,538 : 229,826.09 = 91,086.50 : x
  2. Step 2: Convert to fraction form
    166,538/229,826.09 = 91,086.50/x
  3. Step 3: Cross multiply
    166,538x = 229,826.09 × 91,086.50
  4. Step 4: Simplify right side
    166,538x = 20,934,054,146.79
  5. Step 5: Solve for x
    x = 20,934,054,146.79/166,538
  6. Step 6: Final answer
    x = 125,701.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.