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Finding the Fourth Proportional to 149,661.48, 206,532.42 and 82,593

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Solution

The fourth proportional to 149,661.48, 206,532.42 and 82,593 is: 113,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,661.48 : 206,532.42 = 82,593 : x
  2. Step 2: Convert to fraction form
    149,661.48/206,532.42 = 82,593/x
  3. Step 3: Cross multiply
    149,661.48x = 206,532.42 × 82,593
  4. Step 4: Simplify right side
    149,661.48x = 17,058,132,165.06
  5. Step 5: Solve for x
    x = 17,058,132,165.06/149,661.48
  6. Step 6: Final answer
    x = 113,978.11

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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.