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Finding the Fourth Proportional to 133,597.41, 200,377.47 and 33,751.41

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Solution

The fourth proportional to 133,597.41, 200,377.47 and 33,751.41 is: 50,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,597.41 : 200,377.47 = 33,751.41 : x
  2. Step 2: Convert to fraction form
    133,597.41/200,377.47 = 33,751.41/x
  3. Step 3: Cross multiply
    133,597.41x = 200,377.47 × 33,751.41
  4. Step 4: Simplify right side
    133,597.41x = 6,763,022,144.73
  5. Step 5: Solve for x
    x = 6,763,022,144.73/133,597.41
  6. Step 6: Final answer
    x = 50,622.40

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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.