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Finding the Fourth Proportional to 133,709.67, 200,429.49 and 83,824.80

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Solution

The fourth proportional to 133,709.67, 200,429.49 and 83,824.80 is: 125,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,709.67 : 200,429.49 = 83,824.80 : x
  2. Step 2: Convert to fraction form
    133,709.67/200,429.49 = 83,824.80/x
  3. Step 3: Cross multiply
    133,709.67x = 200,429.49 × 83,824.80
  4. Step 4: Simplify right side
    133,709.67x = 16,800,961,913.35
  5. Step 5: Solve for x
    x = 16,800,961,913.35/133,709.67
  6. Step 6: Final answer
    x = 125,652.56

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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.