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Finding the Fourth Proportional to 200,996.89, 301,285.53 and 67,831.27

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Solution

The fourth proportional to 200,996.89, 301,285.53 and 67,831.27 is: 101,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,996.89 : 301,285.53 = 67,831.27 : x
  2. Step 2: Convert to fraction form
    200,996.89/301,285.53 = 67,831.27/x
  3. Step 3: Cross multiply
    200,996.89x = 301,285.53 × 67,831.27
  4. Step 4: Simplify right side
    200,996.89x = 20,436,579,379.31
  5. Step 5: Solve for x
    x = 20,436,579,379.31/200,996.89
  6. Step 6: Final answer
    x = 101,676.10

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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.