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Finding the Fourth Proportional to 204,204.92, 306,107.38 and 114,291.54

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Solution

The fourth proportional to 204,204.92, 306,107.38 and 114,291.54 is: 171,325.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,204.92 : 306,107.38 = 114,291.54 : x
  2. Step 2: Convert to fraction form
    204,204.92/306,107.38 = 114,291.54/x
  3. Step 3: Cross multiply
    204,204.92x = 306,107.38 × 114,291.54
  4. Step 4: Simplify right side
    204,204.92x = 34,985,483,865.57
  5. Step 5: Solve for x
    x = 34,985,483,865.57/204,204.92
  6. Step 6: Final answer
    x = 171,325.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.