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Finding the Fourth Proportional to 119,732.32, 165,227.38 and 66,016.41

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Solution

The fourth proportional to 119,732.32, 165,227.38 and 66,016.41 is: 91,100.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,732.32 : 165,227.38 = 66,016.41 : x
  2. Step 2: Convert to fraction form
    119,732.32/165,227.38 = 66,016.41/x
  3. Step 3: Cross multiply
    119,732.32x = 165,227.38 × 66,016.41
  4. Step 4: Simplify right side
    119,732.32x = 10,907,718,461.31
  5. Step 5: Solve for x
    x = 10,907,718,461.31/119,732.32
  6. Step 6: Final answer
    x = 91,100.87

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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.