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Finding the Fourth Proportional to 216,107.75, 324,871.54 and 200,501.38

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Solution

The fourth proportional to 216,107.75, 324,871.54 and 200,501.38 is: 301,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,107.75 : 324,871.54 = 200,501.38 : x
  2. Step 2: Convert to fraction form
    216,107.75/324,871.54 = 200,501.38/x
  3. Step 3: Cross multiply
    216,107.75x = 324,871.54 × 200,501.38
  4. Step 4: Simplify right side
    216,107.75x = 65,137,192,092.73
  5. Step 5: Solve for x
    x = 65,137,192,092.73/216,107.75
  6. Step 6: Final answer
    x = 301,410.72

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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.