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Finding the Fourth Proportional to 216,608.94, 324,797.25 and 120,576.42

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Solution

The fourth proportional to 216,608.94, 324,797.25 and 120,576.42 is: 180,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,608.94 : 324,797.25 = 120,576.42 : x
  2. Step 2: Convert to fraction form
    216,608.94/324,797.25 = 120,576.42/x
  3. Step 3: Cross multiply
    216,608.94x = 324,797.25 × 120,576.42
  4. Step 4: Simplify right side
    216,608.94x = 39,162,889,630.85
  5. Step 5: Solve for x
    x = 39,162,889,630.85/216,608.94
  6. Step 6: Final answer
    x = 180,799.97

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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.