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Finding the Fourth Proportional to 216,823, 324,813.64 and 159,793.36

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Solution

The fourth proportional to 216,823, 324,813.64 and 159,793.36 is: 239,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,823 : 324,813.64 = 159,793.36 : x
  2. Step 2: Convert to fraction form
    216,823/324,813.64 = 159,793.36/x
  3. Step 3: Cross multiply
    216,823x = 324,813.64 × 159,793.36
  4. Step 4: Simplify right side
    216,823x = 51,903,062,909.43
  5. Step 5: Solve for x
    x = 51,903,062,909.43/216,823
  6. Step 6: Final answer
    x = 239,379.88

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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.