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Finding the Fourth Proportional to 198,846.80, 274,408.48 and 109,422.80

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Solution

The fourth proportional to 198,846.80, 274,408.48 and 109,422.80 is: 151,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,846.80 : 274,408.48 = 109,422.80 : x
  2. Step 2: Convert to fraction form
    198,846.80/274,408.48 = 109,422.80/x
  3. Step 3: Cross multiply
    198,846.80x = 274,408.48 × 109,422.80
  4. Step 4: Simplify right side
    198,846.80x = 30,026,544,225.34
  5. Step 5: Solve for x
    x = 30,026,544,225.34/198,846.80
  6. Step 6: Final answer
    x = 151,003.41

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1.5x scale

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.