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Finding the Fourth Proportional to 273,238.31, 409,884.81 and 83,696.49

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Solution

The fourth proportional to 273,238.31, 409,884.81 and 83,696.49 is: 125,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,238.31 : 409,884.81 = 83,696.49 : x
  2. Step 2: Convert to fraction form
    273,238.31/409,884.81 = 83,696.49/x
  3. Step 3: Cross multiply
    273,238.31x = 409,884.81 × 83,696.49
  4. Step 4: Simplify right side
    273,238.31x = 34,305,920,058.25
  5. Step 5: Solve for x
    x = 34,305,920,058.25/273,238.31
  6. Step 6: Final answer
    x = 125,553.11

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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.