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Finding the Fourth Proportional to 203,800.11, 305,753.03 and 77,442.54

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Solution

The fourth proportional to 203,800.11, 305,753.03 and 77,442.54 is: 116,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,800.11 : 305,753.03 = 77,442.54 : x
  2. Step 2: Convert to fraction form
    203,800.11/305,753.03 = 77,442.54/x
  3. Step 3: Cross multiply
    203,800.11x = 305,753.03 × 77,442.54
  4. Step 4: Simplify right side
    203,800.11x = 23,678,291,255.90
  5. Step 5: Solve for x
    x = 23,678,291,255.90/203,800.11
  6. Step 6: Final answer
    x = 116,183.90

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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.