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Finding the Fourth Proportional to 149,208.27, 205,906.82 and 81,229.02

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Solution

The fourth proportional to 149,208.27, 205,906.82 and 81,229.02 is: 112,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,208.27 : 205,906.82 = 81,229.02 : x
  2. Step 2: Convert to fraction form
    149,208.27/205,906.82 = 81,229.02/x
  3. Step 3: Cross multiply
    149,208.27x = 205,906.82 × 81,229.02
  4. Step 4: Simplify right side
    149,208.27x = 16,725,608,170.38
  5. Step 5: Solve for x
    x = 16,725,608,170.38/149,208.27
  6. Step 6: Final answer
    x = 112,095.72

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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.