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Finding the Fourth Proportional to 202,828, 304,243.20 and 55,084

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Solution

The fourth proportional to 202,828, 304,243.20 and 55,084 is: 82,626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,828 : 304,243.20 = 55,084 : x
  2. Step 2: Convert to fraction form
    202,828/304,243.20 = 55,084/x
  3. Step 3: Cross multiply
    202,828x = 304,243.20 × 55,084
  4. Step 4: Simplify right side
    202,828x = 16,758,932,428.80
  5. Step 5: Solve for x
    x = 16,758,932,428.80/202,828
  6. Step 6: Final answer
    x = 82,626.33

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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.