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Finding the Fourth Proportional to 166,714.56, 230,141.16 and 106,366.32

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Solution

The fourth proportional to 166,714.56, 230,141.16 and 106,366.32 is: 146,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,714.56 : 230,141.16 = 106,366.32 : x
  2. Step 2: Convert to fraction form
    166,714.56/230,141.16 = 106,366.32/x
  3. Step 3: Cross multiply
    166,714.56x = 230,141.16 × 106,366.32
  4. Step 4: Simplify right side
    166,714.56x = 24,479,268,269.73
  5. Step 5: Solve for x
    x = 24,479,268,269.73/166,714.56
  6. Step 6: Final answer
    x = 146,833.42

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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.