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Finding the Fourth Proportional to 202,942.80, 304,414.20 and 197,758.80

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Solution

The fourth proportional to 202,942.80, 304,414.20 and 197,758.80 is: 296,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,942.80 : 304,414.20 = 197,758.80 : x
  2. Step 2: Convert to fraction form
    202,942.80/304,414.20 = 197,758.80/x
  3. Step 3: Cross multiply
    202,942.80x = 304,414.20 × 197,758.80
  4. Step 4: Simplify right side
    202,942.80x = 60,200,586,894.96
  5. Step 5: Solve for x
    x = 60,200,586,894.96/202,942.80
  6. Step 6: Final answer
    x = 296,638.20

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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.