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Finding the Fourth Proportional to 203,971.80, 281,441.34 and 119,092.44

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Solution

The fourth proportional to 203,971.80, 281,441.34 and 119,092.44 is: 164,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,971.80 : 281,441.34 = 119,092.44 : x
  2. Step 2: Convert to fraction form
    203,971.80/281,441.34 = 119,092.44/x
  3. Step 3: Cross multiply
    203,971.80x = 281,441.34 × 119,092.44
  4. Step 4: Simplify right side
    203,971.80x = 33,517,535,897.47
  5. Step 5: Solve for x
    x = 33,517,535,897.47/203,971.80
  6. Step 6: Final answer
    x = 164,324.36

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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.