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Finding the Fourth Proportional to 339,853.87, 509,747.74 and 103,198.60

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Solution

The fourth proportional to 339,853.87, 509,747.74 and 103,198.60 is: 154,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,853.87 : 509,747.74 = 103,198.60 : x
  2. Step 2: Convert to fraction form
    339,853.87/509,747.74 = 103,198.60/x
  3. Step 3: Cross multiply
    339,853.87x = 509,747.74 × 103,198.60
  4. Step 4: Simplify right side
    339,853.87x = 52,605,253,121.16
  5. Step 5: Solve for x
    x = 52,605,253,121.16/339,853.87
  6. Step 6: Final answer
    x = 154,787.86

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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.