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Finding the Fourth Proportional to 149,561, 206,408.76 and 82,493

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Solution

The fourth proportional to 149,561, 206,408.76 and 82,493 is: 113,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,561 : 206,408.76 = 82,493 : x
  2. Step 2: Convert to fraction form
    149,561/206,408.76 = 82,493/x
  3. Step 3: Cross multiply
    149,561x = 206,408.76 × 82,493
  4. Step 4: Simplify right side
    149,561x = 17,027,277,838.68
  5. Step 5: Solve for x
    x = 17,027,277,838.68/149,561
  6. Step 6: Final answer
    x = 113,848.38

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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.