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Finding the Fourth Proportional to 378,048.68, 567,183.84 and 111,816.32

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Solution

The fourth proportional to 378,048.68, 567,183.84 and 111,816.32 is: 167,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,048.68 : 567,183.84 = 111,816.32 : x
  2. Step 2: Convert to fraction form
    378,048.68/567,183.84 = 111,816.32/x
  3. Step 3: Cross multiply
    378,048.68x = 567,183.84 × 111,816.32
  4. Step 4: Simplify right side
    378,048.68x = 63,420,409,752.27
  5. Step 5: Solve for x
    x = 63,420,409,752.27/378,048.68
  6. Step 6: Final answer
    x = 167,757.26

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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.