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Finding the Fourth Proportional to 133,448.96, 200,044.82 and 49,163.04

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Solution

The fourth proportional to 133,448.96, 200,044.82 and 49,163.04 is: 73,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,448.96 : 200,044.82 = 49,163.04 : x
  2. Step 2: Convert to fraction form
    133,448.96/200,044.82 = 49,163.04/x
  3. Step 3: Cross multiply
    133,448.96x = 200,044.82 × 49,163.04
  4. Step 4: Simplify right side
    133,448.96x = 9,834,811,241.64
  5. Step 5: Solve for x
    x = 9,834,811,241.64/133,448.96
  6. Step 6: Final answer
    x = 73,697.18

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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.