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Finding the Fourth Proportional to 133,947.20, 200,575.20 and 106,299.20

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Solution

The fourth proportional to 133,947.20, 200,575.20 and 106,299.20 is: 159,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,947.20 : 200,575.20 = 106,299.20 : x
  2. Step 2: Convert to fraction form
    133,947.20/200,575.20 = 106,299.20/x
  3. Step 3: Cross multiply
    133,947.20x = 200,575.20 × 106,299.20
  4. Step 4: Simplify right side
    133,947.20x = 21,320,983,299.84
  5. Step 5: Solve for x
    x = 21,320,983,299.84/133,947.20
  6. Step 6: Final answer
    x = 159,174.54

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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.