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Finding the Fourth Proportional to 133,603.90, 200,387.32 and 33,757.97

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Solution

The fourth proportional to 133,603.90, 200,387.32 and 33,757.97 is: 50,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,603.90 : 200,387.32 = 33,757.97 : x
  2. Step 2: Convert to fraction form
    133,603.90/200,387.32 = 33,757.97/x
  3. Step 3: Cross multiply
    133,603.90x = 200,387.32 × 33,757.97
  4. Step 4: Simplify right side
    133,603.90x = 6,764,668,050.61
  5. Step 5: Solve for x
    x = 6,764,668,050.61/133,603.90
  6. Step 6: Final answer
    x = 50,632.27

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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.