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Finding the Fourth Proportional to 200,967.98, 301,294.09 and 137,596.41

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Solution

The fourth proportional to 200,967.98, 301,294.09 and 137,596.41 is: 206,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,967.98 : 301,294.09 = 137,596.41 : x
  2. Step 2: Convert to fraction form
    200,967.98/301,294.09 = 137,596.41/x
  3. Step 3: Cross multiply
    200,967.98x = 301,294.09 × 137,596.41
  4. Step 4: Simplify right side
    200,967.98x = 41,456,982,943.76
  5. Step 5: Solve for x
    x = 41,456,982,943.76/200,967.98
  6. Step 6: Final answer
    x = 206,286.51

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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.