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Finding the Fourth Proportional to 150,605.37, 207,832.32 and 83,537.37

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Solution

The fourth proportional to 150,605.37, 207,832.32 and 83,537.37 is: 115,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,605.37 : 207,832.32 = 83,537.37 : x
  2. Step 2: Convert to fraction form
    150,605.37/207,832.32 = 83,537.37/x
  3. Step 3: Cross multiply
    150,605.37x = 207,832.32 × 83,537.37
  4. Step 4: Simplify right side
    150,605.37x = 17,361,765,413.80
  5. Step 5: Solve for x
    x = 17,361,765,413.80/150,605.37
  6. Step 6: Final answer
    x = 115,279.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.