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Finding the Fourth Proportional to 166,632.50, 229,952.86 and 91,181

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Solution

The fourth proportional to 166,632.50, 229,952.86 and 91,181 is: 125,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,632.50 : 229,952.86 = 91,181 : x
  2. Step 2: Convert to fraction form
    166,632.50/229,952.86 = 91,181/x
  3. Step 3: Cross multiply
    166,632.50x = 229,952.86 × 91,181
  4. Step 4: Simplify right side
    166,632.50x = 20,967,331,727.66
  5. Step 5: Solve for x
    x = 20,967,331,727.66/166,632.50
  6. Step 6: Final answer
    x = 125,829.79

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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.