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Finding the Fourth Proportional to 133,352.80, 200,049.09 and 49,106.49

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Solution

The fourth proportional to 133,352.80, 200,049.09 and 49,106.49 is: 73,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,352.80 : 200,049.09 = 49,106.49 : x
  2. Step 2: Convert to fraction form
    133,352.80/200,049.09 = 49,106.49/x
  3. Step 3: Cross multiply
    133,352.80x = 200,049.09 × 49,106.49
  4. Step 4: Simplify right side
    133,352.80x = 9,823,707,979.48
  5. Step 5: Solve for x
    x = 9,823,707,979.48/133,352.80
  6. Step 6: Final answer
    x = 73,667.06

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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.