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Finding the Fourth Proportional to 119,708.19, 165,198.42 and 65,995.11

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Solution

The fourth proportional to 119,708.19, 165,198.42 and 65,995.11 is: 91,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,708.19 : 165,198.42 = 65,995.11 : x
  2. Step 2: Convert to fraction form
    119,708.19/165,198.42 = 65,995.11/x
  3. Step 3: Cross multiply
    119,708.19x = 165,198.42 × 65,995.11
  4. Step 4: Simplify right side
    119,708.19x = 10,902,287,899.73
  5. Step 5: Solve for x
    x = 10,902,287,899.73/119,708.19
  6. Step 6: Final answer
    x = 91,073.87

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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.