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Finding the Fourth Proportional to 167,182.56, 230,715.96 and 91,731

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Solution

The fourth proportional to 167,182.56, 230,715.96 and 91,731 is: 126,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,182.56 : 230,715.96 = 91,731 : x
  2. Step 2: Convert to fraction form
    167,182.56/230,715.96 = 91,731/x
  3. Step 3: Cross multiply
    167,182.56x = 230,715.96 × 91,731
  4. Step 4: Simplify right side
    167,182.56x = 21,163,805,726.76
  5. Step 5: Solve for x
    x = 21,163,805,726.76/167,182.56
  6. Step 6: Final answer
    x = 126,590.99

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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.