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Finding the Fourth Proportional to 198,571.22, 274,031.06 and 107,927.16

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Solution

The fourth proportional to 198,571.22, 274,031.06 and 107,927.16 is: 148,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.22 : 274,031.06 = 107,927.16 : x
  2. Step 2: Convert to fraction form
    198,571.22/274,031.06 = 107,927.16/x
  3. Step 3: Cross multiply
    198,571.22x = 274,031.06 × 107,927.16
  4. Step 4: Simplify right side
    198,571.22x = 29,575,394,057.59
  5. Step 5: Solve for x
    x = 29,575,394,057.59/198,571.22
  6. Step 6: Final answer
    x = 148,940.99

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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.