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Finding the Fourth Proportional to 110,732.87, 166,093.38 and 54,516.95

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Solution

The fourth proportional to 110,732.87, 166,093.38 and 54,516.95 is: 81,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,732.87 : 166,093.38 = 54,516.95 : x
  2. Step 2: Convert to fraction form
    110,732.87/166,093.38 = 54,516.95/x
  3. Step 3: Cross multiply
    110,732.87x = 166,093.38 × 54,516.95
  4. Step 4: Simplify right side
    110,732.87x = 9,054,903,389.74
  5. Step 5: Solve for x
    x = 9,054,903,389.74/110,732.87
  6. Step 6: Final answer
    x = 81,772.50

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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.