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Finding the Fourth Proportional to 215,874.92, 297,900.38 and 119,078.54

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Solution

The fourth proportional to 215,874.92, 297,900.38 and 119,078.54 is: 164,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,874.92 : 297,900.38 = 119,078.54 : x
  2. Step 2: Convert to fraction form
    215,874.92/297,900.38 = 119,078.54/x
  3. Step 3: Cross multiply
    215,874.92x = 297,900.38 × 119,078.54
  4. Step 4: Simplify right side
    215,874.92x = 35,473,542,241.17
  5. Step 5: Solve for x
    x = 35,473,542,241.17/215,874.92
  6. Step 6: Final answer
    x = 164,324.52

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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.