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Finding the Fourth Proportional to 133,705.41, 200,565.20 and 33,866.43

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Solution

The fourth proportional to 133,705.41, 200,565.20 and 33,866.43 is: 50,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,705.41 : 200,565.20 = 33,866.43 : x
  2. Step 2: Convert to fraction form
    133,705.41/200,565.20 = 33,866.43/x
  3. Step 3: Cross multiply
    133,705.41x = 200,565.20 × 33,866.43
  4. Step 4: Simplify right side
    133,705.41x = 6,792,427,306.24
  5. Step 5: Solve for x
    x = 6,792,427,306.24/133,705.41
  6. Step 6: Final answer
    x = 50,801.44

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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.