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Finding the Fourth Proportional to 193,107.25, 289,661.28 and 82,299.25

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Solution

The fourth proportional to 193,107.25, 289,661.28 and 82,299.25 is: 123,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,107.25 : 289,661.28 = 82,299.25 : x
  2. Step 2: Convert to fraction form
    193,107.25/289,661.28 = 82,299.25/x
  3. Step 3: Cross multiply
    193,107.25x = 289,661.28 × 82,299.25
  4. Step 4: Simplify right side
    193,107.25x = 23,838,906,098.04
  5. Step 5: Solve for x
    x = 23,838,906,098.04/193,107.25
  6. Step 6: Final answer
    x = 123,449.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.