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Finding the Fourth Proportional to 150,160.38, 225,083.65 and 50,238.38

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Solution

The fourth proportional to 150,160.38, 225,083.65 and 50,238.38 is: 75,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,160.38 : 225,083.65 = 50,238.38 : x
  2. Step 2: Convert to fraction form
    150,160.38/225,083.65 = 50,238.38/x
  3. Step 3: Cross multiply
    150,160.38x = 225,083.65 × 50,238.38
  4. Step 4: Simplify right side
    150,160.38x = 11,307,837,940.49
  5. Step 5: Solve for x
    x = 11,307,837,940.49/150,160.38
  6. Step 6: Final answer
    x = 75,305.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.