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Finding the Fourth Proportional to 192,991.28, 266,338.24 and 106,959.68

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Solution

The fourth proportional to 192,991.28, 266,338.24 and 106,959.68 is: 147,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,991.28 : 266,338.24 = 106,959.68 : x
  2. Step 2: Convert to fraction form
    192,991.28/266,338.24 = 106,959.68/x
  3. Step 3: Cross multiply
    192,991.28x = 266,338.24 × 106,959.68
  4. Step 4: Simplify right side
    192,991.28x = 28,487,452,922.16
  5. Step 5: Solve for x
    x = 28,487,452,922.16/192,991.28
  6. Step 6: Final answer
    x = 147,610.05

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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.