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Finding the Fourth Proportional to 404,192.86, 606,122.48 and 137,974.84

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Solution

The fourth proportional to 404,192.86, 606,122.48 and 137,974.84 is: 206,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,192.86 : 606,122.48 = 137,974.84 : x
  2. Step 2: Convert to fraction form
    404,192.86/606,122.48 = 137,974.84/x
  3. Step 3: Cross multiply
    404,192.86x = 606,122.48 × 137,974.84
  4. Step 4: Simplify right side
    404,192.86x = 83,629,652,198.40
  5. Step 5: Solve for x
    x = 83,629,652,198.40/404,192.86
  6. Step 6: Final answer
    x = 206,905.32

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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.