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Finding the Fourth Proportional to 166,932.84, 250,410.80 and 67,093.12

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Solution

The fourth proportional to 166,932.84, 250,410.80 and 67,093.12 is: 100,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,932.84 : 250,410.80 = 67,093.12 : x
  2. Step 2: Convert to fraction form
    166,932.84/250,410.80 = 67,093.12/x
  3. Step 3: Cross multiply
    166,932.84x = 250,410.80 × 67,093.12
  4. Step 4: Simplify right side
    166,932.84x = 16,800,841,853.70
  5. Step 5: Solve for x
    x = 16,800,841,853.70/166,932.84
  6. Step 6: Final answer
    x = 100,644.32

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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.