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Finding the Fourth Proportional to 202,785.75, 304,156.71 and 67,834.53

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Solution

The fourth proportional to 202,785.75, 304,156.71 and 67,834.53 is: 101,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,785.75 : 304,156.71 = 67,834.53 : x
  2. Step 2: Convert to fraction form
    202,785.75/304,156.71 = 67,834.53/x
  3. Step 3: Cross multiply
    202,785.75x = 304,156.71 × 67,834.53
  4. Step 4: Simplify right side
    202,785.75x = 20,632,327,469.20
  5. Step 5: Solve for x
    x = 20,632,327,469.20/202,785.75
  6. Step 6: Final answer
    x = 101,744.46

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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.