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Finding the Fourth Proportional to 206,828, 310,242 and 59,084

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Solution

The fourth proportional to 206,828, 310,242 and 59,084 is: 88,626

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828 : 310,242 = 59,084 : x
  2. Step 2: Convert to fraction form
    206,828/310,242 = 59,084/x
  3. Step 3: Cross multiply
    206,828x = 310,242 × 59,084
  4. Step 4: Simplify right side
    206,828x = 18,330,338,328
  5. Step 5: Solve for x
    x = 18,330,338,328/206,828
  6. Step 6: Final answer
    x = 88,626

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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.