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Finding the Fourth Proportional to 147,949, 204,170.34 and 80,881

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Solution

The fourth proportional to 147,949, 204,170.34 and 80,881 is: 111,616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,949 : 204,170.34 = 80,881 : x
  2. Step 2: Convert to fraction form
    147,949/204,170.34 = 80,881/x
  3. Step 3: Cross multiply
    147,949x = 204,170.34 × 80,881
  4. Step 4: Simplify right side
    147,949x = 16,513,501,269.54
  5. Step 5: Solve for x
    x = 16,513,501,269.54/147,949
  6. Step 6: Final answer
    x = 111,616.17

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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.