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Finding the Fourth Proportional to 133,441.96, 200,163.29 and 49,165.61

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Solution

The fourth proportional to 133,441.96, 200,163.29 and 49,165.61 is: 73,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,441.96 : 200,163.29 = 49,165.61 : x
  2. Step 2: Convert to fraction form
    133,441.96/200,163.29 = 49,165.61/x
  3. Step 3: Cross multiply
    133,441.96x = 200,163.29 × 49,165.61
  4. Step 4: Simplify right side
    133,441.96x = 9,841,150,252.46
  5. Step 5: Solve for x
    x = 9,841,150,252.46/133,441.96
  6. Step 6: Final answer
    x = 73,748.54

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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.