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Finding the Fourth Proportional to 200,297.90, 300,437.73 and 67,167.92

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Solution

The fourth proportional to 200,297.90, 300,437.73 and 67,167.92 is: 100,748.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.90 : 300,437.73 = 67,167.92 : x
  2. Step 2: Convert to fraction form
    200,297.90/300,437.73 = 67,167.92/x
  3. Step 3: Cross multiply
    200,297.90x = 300,437.73 × 67,167.92
  4. Step 4: Simplify right side
    200,297.90x = 20,179,777,413.62
  5. Step 5: Solve for x
    x = 20,179,777,413.62/200,297.90
  6. Step 6: Final answer
    x = 100,748.82

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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.