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Finding the Fourth Proportional to 149,211.52, 205,913.28 and 82,144

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Solution

The fourth proportional to 149,211.52, 205,913.28 and 82,144 is: 113,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,211.52 : 205,913.28 = 82,144 : x
  2. Step 2: Convert to fraction form
    149,211.52/205,913.28 = 82,144/x
  3. Step 3: Cross multiply
    149,211.52x = 205,913.28 × 82,144
  4. Step 4: Simplify right side
    149,211.52x = 16,914,540,472.32
  5. Step 5: Solve for x
    x = 16,914,540,472.32/149,211.52
  6. Step 6: Final answer
    x = 113,359.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.