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Finding the Fourth Proportional to 339,568, 509,352 and 106,096

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Solution

The fourth proportional to 339,568, 509,352 and 106,096 is: 159,144

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,568 : 509,352 = 106,096 : x
  2. Step 2: Convert to fraction form
    339,568/509,352 = 106,096/x
  3. Step 3: Cross multiply
    339,568x = 509,352 × 106,096
  4. Step 4: Simplify right side
    339,568x = 54,040,209,792
  5. Step 5: Solve for x
    x = 54,040,209,792/339,568
  6. Step 6: Final answer
    x = 159,144

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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.