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Finding the Fourth Proportional to 202,229.76, 303,380.22 and 69,078.80

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Solution

The fourth proportional to 202,229.76, 303,380.22 and 69,078.80 is: 103,630.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,229.76 : 303,380.22 = 69,078.80 : x
  2. Step 2: Convert to fraction form
    202,229.76/303,380.22 = 69,078.80/x
  3. Step 3: Cross multiply
    202,229.76x = 303,380.22 × 69,078.80
  4. Step 4: Simplify right side
    202,229.76x = 20,957,141,541.34
  5. Step 5: Solve for x
    x = 20,957,141,541.34/202,229.76
  6. Step 6: Final answer
    x = 103,630.35

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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.