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Finding the Fourth Proportional to 378,048.24, 567,183.24 and 111,815.76

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Solution

The fourth proportional to 378,048.24, 567,183.24 and 111,815.76 is: 167,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,048.24 : 567,183.24 = 111,815.76 : x
  2. Step 2: Convert to fraction form
    378,048.24/567,183.24 = 111,815.76/x
  3. Step 3: Cross multiply
    378,048.24x = 567,183.24 × 111,815.76
  4. Step 4: Simplify right side
    378,048.24x = 63,420,025,039.86
  5. Step 5: Solve for x
    x = 63,420,025,039.86/378,048.24
  6. Step 6: Final answer
    x = 167,756.44

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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.