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Finding the Fourth Proportional to 300,162, 414,236.52 and 166,026

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Solution

The fourth proportional to 300,162, 414,236.52 and 166,026 is: 229,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,162 : 414,236.52 = 166,026 : x
  2. Step 2: Convert to fraction form
    300,162/414,236.52 = 166,026/x
  3. Step 3: Cross multiply
    300,162x = 414,236.52 × 166,026
  4. Step 4: Simplify right side
    300,162x = 68,774,032,469.52
  5. Step 5: Solve for x
    x = 68,774,032,469.52/300,162
  6. Step 6: Final answer
    x = 229,123.05

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