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Finding the Fourth Proportional to 208,647.57, 313,033.73 and 147,974.73

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Solution

The fourth proportional to 208,647.57, 313,033.73 and 147,974.73 is: 222,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,647.57 : 313,033.73 = 147,974.73 : x
  2. Step 2: Convert to fraction form
    208,647.57/313,033.73 = 147,974.73/x
  3. Step 3: Cross multiply
    208,647.57x = 313,033.73 × 147,974.73
  4. Step 4: Simplify right side
    208,647.57x = 46,321,081,677.64
  5. Step 5: Solve for x
    x = 46,321,081,677.64/208,647.57
  6. Step 6: Final answer
    x = 222,006.33

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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.