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Finding the Fourth Proportional to 363,909.87, 545,947.83 and 111,226.28

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Solution

The fourth proportional to 363,909.87, 545,947.83 and 111,226.28 is: 166,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,909.87 : 545,947.83 = 111,226.28 : x
  2. Step 2: Convert to fraction form
    363,909.87/545,947.83 = 111,226.28/x
  3. Step 3: Cross multiply
    363,909.87x = 545,947.83 × 111,226.28
  4. Step 4: Simplify right side
    363,909.87x = 60,723,743,475.23
  5. Step 5: Solve for x
    x = 60,723,743,475.23/363,909.87
  6. Step 6: Final answer
    x = 166,864.79

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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.