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Finding the Fourth Proportional to 227,027.80, 340,023.30 and 133,715.80

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Solution

The fourth proportional to 227,027.80, 340,023.30 and 133,715.80 is: 200,268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,027.80 : 340,023.30 = 133,715.80 : x
  2. Step 2: Convert to fraction form
    227,027.80/340,023.30 = 133,715.80/x
  3. Step 3: Cross multiply
    227,027.80x = 340,023.30 × 133,715.80
  4. Step 4: Simplify right side
    227,027.80x = 45,466,487,578.14
  5. Step 5: Solve for x
    x = 45,466,487,578.14/227,027.80
  6. Step 6: Final answer
    x = 200,268.37

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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.