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Finding the Fourth Proportional to 300,247.92, 414,293.40 and 166,086

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Solution

The fourth proportional to 300,247.92, 414,293.40 and 166,086 is: 229,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,247.92 : 414,293.40 = 166,086 : x
  2. Step 2: Convert to fraction form
    300,247.92/414,293.40 = 166,086/x
  3. Step 3: Cross multiply
    300,247.92x = 414,293.40 × 166,086
  4. Step 4: Simplify right side
    300,247.92x = 68,808,333,632.40
  5. Step 5: Solve for x
    x = 68,808,333,632.40/300,247.92
  6. Step 6: Final answer
    x = 229,171.72

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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.