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Finding the Fourth Proportional to 149,195.06, 205,891.80 and 81,213.99

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Solution

The fourth proportional to 149,195.06, 205,891.80 and 81,213.99 is: 112,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,195.06 : 205,891.80 = 81,213.99 : x
  2. Step 2: Convert to fraction form
    149,195.06/205,891.80 = 81,213.99/x
  3. Step 3: Cross multiply
    149,195.06x = 205,891.80 × 81,213.99
  4. Step 4: Simplify right side
    149,195.06x = 16,721,293,861.38
  5. Step 5: Solve for x
    x = 16,721,293,861.38/149,195.06
  6. Step 6: Final answer
    x = 112,076.73

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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.