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Finding the Fourth Proportional to 216,467.64, 324,406.22 and 132,257.21

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Solution

The fourth proportional to 216,467.64, 324,406.22 and 132,257.21 is: 198,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,467.64 : 324,406.22 = 132,257.21 : x
  2. Step 2: Convert to fraction form
    216,467.64/324,406.22 = 132,257.21/x
  3. Step 3: Cross multiply
    216,467.64x = 324,406.22 × 132,257.21
  4. Step 4: Simplify right side
    216,467.64x = 42,905,059,280.53
  5. Step 5: Solve for x
    x = 42,905,059,280.53/216,467.64
  6. Step 6: Final answer
    x = 198,205.42

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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.