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Finding the Fourth Proportional to 166,546.44, 229,909.15 and 106,198.20

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Solution

The fourth proportional to 166,546.44, 229,909.15 and 106,198.20 is: 146,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,546.44 : 229,909.15 = 106,198.20 : x
  2. Step 2: Convert to fraction form
    166,546.44/229,909.15 = 106,198.20/x
  3. Step 3: Cross multiply
    166,546.44x = 229,909.15 × 106,198.20
  4. Step 4: Simplify right side
    166,546.44x = 24,415,938,689.32
  5. Step 5: Solve for x
    x = 24,415,938,689.32/166,546.44
  6. Step 6: Final answer
    x = 146,601.38

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Why These Related Problems?

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