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Finding the Fourth Proportional to 202,785.25, 304,155.97 and 67,834.03

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Solution

The fourth proportional to 202,785.25, 304,155.97 and 67,834.03 is: 101,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,785.25 : 304,155.97 = 67,834.03 : x
  2. Step 2: Convert to fraction form
    202,785.25/304,155.97 = 67,834.03/x
  3. Step 3: Cross multiply
    202,785.25x = 304,155.97 × 67,834.03
  4. Step 4: Simplify right side
    202,785.25x = 20,632,123,333.71
  5. Step 5: Solve for x
    x = 20,632,123,333.71/202,785.25
  6. Step 6: Final answer
    x = 101,743.71

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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.