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Finding the Fourth Proportional to 202,610.46, 303,915.78 and 52,850.55

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Solution

The fourth proportional to 202,610.46, 303,915.78 and 52,850.55 is: 79,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,610.46 : 303,915.78 = 52,850.55 : x
  2. Step 2: Convert to fraction form
    202,610.46/303,915.78 = 52,850.55/x
  3. Step 3: Cross multiply
    202,610.46x = 303,915.78 × 52,850.55
  4. Step 4: Simplify right side
    202,610.46x = 16,062,116,126.68
  5. Step 5: Solve for x
    x = 16,062,116,126.68/202,610.46
  6. Step 6: Final answer
    x = 79,275.85

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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.