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Finding the Fourth Proportional to 259,043.75, 388,621.20 and 146,777.75

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Solution

The fourth proportional to 259,043.75, 388,621.20 and 146,777.75 is: 220,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,043.75 : 388,621.20 = 146,777.75 : x
  2. Step 2: Convert to fraction form
    259,043.75/388,621.20 = 146,777.75/x
  3. Step 3: Cross multiply
    259,043.75x = 388,621.20 × 146,777.75
  4. Step 4: Simplify right side
    259,043.75x = 57,040,945,338.30
  5. Step 5: Solve for x
    x = 57,040,945,338.30/259,043.75
  6. Step 6: Final answer
    x = 220,198.11

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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.