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Finding the Fourth Proportional to 203,745.98, 281,198.69 and 122,077.46

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Solution

The fourth proportional to 203,745.98, 281,198.69 and 122,077.46 is: 168,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,745.98 : 281,198.69 = 122,077.46 : x
  2. Step 2: Convert to fraction form
    203,745.98/281,198.69 = 122,077.46/x
  3. Step 3: Cross multiply
    203,745.98x = 281,198.69 × 122,077.46
  4. Step 4: Simplify right side
    203,745.98x = 34,328,019,814.15
  5. Step 5: Solve for x
    x = 34,328,019,814.15/203,745.98
  6. Step 6: Final answer
    x = 168,484.41

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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.