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Finding the Fourth Proportional to 198,571.47, 274,031.41 and 107,927.41

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Solution

The fourth proportional to 198,571.47, 274,031.41 and 107,927.41 is: 148,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,571.47 : 274,031.41 = 107,927.41 : x
  2. Step 2: Convert to fraction form
    198,571.47/274,031.41 = 107,927.41/x
  3. Step 3: Cross multiply
    198,571.47x = 274,031.41 × 107,927.41
  4. Step 4: Simplify right side
    198,571.47x = 29,575,500,339.95
  5. Step 5: Solve for x
    x = 29,575,500,339.95/198,571.47
  6. Step 6: Final answer
    x = 148,941.34

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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.