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Finding the Fourth Proportional to 165,736.50, 248,604.78 and 54,928.50

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Solution

The fourth proportional to 165,736.50, 248,604.78 and 54,928.50 is: 82,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,736.50 : 248,604.78 = 54,928.50 : x
  2. Step 2: Convert to fraction form
    165,736.50/248,604.78 = 54,928.50/x
  3. Step 3: Cross multiply
    165,736.50x = 248,604.78 × 54,928.50
  4. Step 4: Simplify right side
    165,736.50x = 13,655,487,658.23
  5. Step 5: Solve for x
    x = 13,655,487,658.23/165,736.50
  6. Step 6: Final answer
    x = 82,392.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.