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Finding the Fourth Proportional to 165,744.50, 248,616.76 and 54,936.50

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Solution

The fourth proportional to 165,744.50, 248,616.76 and 54,936.50 is: 82,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,744.50 : 248,616.76 = 54,936.50 : x
  2. Step 2: Convert to fraction form
    165,744.50/248,616.76 = 54,936.50/x
  3. Step 3: Cross multiply
    165,744.50x = 248,616.76 × 54,936.50
  4. Step 4: Simplify right side
    165,744.50x = 13,658,134,635.74
  5. Step 5: Solve for x
    x = 13,658,134,635.74/165,744.50
  6. Step 6: Final answer
    x = 82,404.75

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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.