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Finding the Fourth Proportional to 131,677, 197,515.50 and 33,181

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Solution

The fourth proportional to 131,677, 197,515.50 and 33,181 is: 49,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,677 : 197,515.50 = 33,181 : x
  2. Step 2: Convert to fraction form
    131,677/197,515.50 = 33,181/x
  3. Step 3: Cross multiply
    131,677x = 197,515.50 × 33,181
  4. Step 4: Simplify right side
    131,677x = 6,553,761,805.50
  5. Step 5: Solve for x
    x = 6,553,761,805.50/131,677
  6. Step 6: Final answer
    x = 49,771.50

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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.