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Finding the Fourth Proportional to 119,735.92, 165,231.84 and 66,022

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Solution

The fourth proportional to 119,735.92, 165,231.84 and 66,022 is: 91,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,735.92 : 165,231.84 = 66,022 : x
  2. Step 2: Convert to fraction form
    119,735.92/165,231.84 = 66,022/x
  3. Step 3: Cross multiply
    119,735.92x = 165,231.84 × 66,022
  4. Step 4: Simplify right side
    119,735.92x = 10,908,936,540.48
  5. Step 5: Solve for x
    x = 10,908,936,540.48/119,735.92
  6. Step 6: Final answer
    x = 91,108.30

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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.