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Finding the Fourth Proportional to 203,942.52, 281,420.28 and 119,109

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Solution

The fourth proportional to 203,942.52, 281,420.28 and 119,109 is: 164,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,942.52 : 281,420.28 = 119,109 : x
  2. Step 2: Convert to fraction form
    203,942.52/281,420.28 = 119,109/x
  3. Step 3: Cross multiply
    203,942.52x = 281,420.28 × 119,109
  4. Step 4: Simplify right side
    203,942.52x = 33,519,688,130.52
  5. Step 5: Solve for x
    x = 33,519,688,130.52/203,942.52
  6. Step 6: Final answer
    x = 164,358.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.