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Finding the Fourth Proportional to 166,843.65, 230,059.74 and 106,318.43

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Solution

The fourth proportional to 166,843.65, 230,059.74 and 106,318.43 is: 146,601.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,843.65 : 230,059.74 = 106,318.43 : x
  2. Step 2: Convert to fraction form
    166,843.65/230,059.74 = 106,318.43/x
  3. Step 3: Cross multiply
    166,843.65x = 230,059.74 × 106,318.43
  4. Step 4: Simplify right side
    166,843.65x = 24,459,589,212.71
  5. Step 5: Solve for x
    x = 24,459,589,212.71/166,843.65
  6. Step 6: Final answer
    x = 146,601.86

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1.5x scale

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.