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Finding the Fourth Proportional to 119,706.60, 165,187.98 and 65,993.88

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Solution

The fourth proportional to 119,706.60, 165,187.98 and 65,993.88 is: 91,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,706.60 : 165,187.98 = 65,993.88 : x
  2. Step 2: Convert to fraction form
    119,706.60/165,187.98 = 65,993.88/x
  3. Step 3: Cross multiply
    119,706.60x = 165,187.98 × 65,993.88
  4. Step 4: Simplify right side
    119,706.60x = 10,901,395,729.56
  5. Step 5: Solve for x
    x = 10,901,395,729.56/119,706.60
  6. Step 6: Final answer
    x = 91,067.62

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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.