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Finding the Fourth Proportional to 133,891.48, 200,709.01 and 49,629.03

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Solution

The fourth proportional to 133,891.48, 200,709.01 and 49,629.03 is: 74,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,891.48 : 200,709.01 = 49,629.03 : x
  2. Step 2: Convert to fraction form
    133,891.48/200,709.01 = 49,629.03/x
  3. Step 3: Cross multiply
    133,891.48x = 200,709.01 × 49,629.03
  4. Step 4: Simplify right side
    133,891.48x = 9,960,993,478.56
  5. Step 5: Solve for x
    x = 9,960,993,478.56/133,891.48
  6. Step 6: Final answer
    x = 74,396.02

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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.