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Finding the Fourth Proportional to 119,912.24, 165,477.98 and 66,197.24

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Solution

The fourth proportional to 119,912.24, 165,477.98 and 66,197.24 is: 91,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,912.24 : 165,477.98 = 66,197.24 : x
  2. Step 2: Convert to fraction form
    119,912.24/165,477.98 = 66,197.24/x
  3. Step 3: Cross multiply
    119,912.24x = 165,477.98 × 66,197.24
  4. Step 4: Simplify right side
    119,912.24x = 10,954,185,556.78
  5. Step 5: Solve for x
    x = 10,954,185,556.78/119,912.24
  6. Step 6: Final answer
    x = 91,351.69

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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.