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Finding the Fourth Proportional to 295,890.80, 408,321.08 and 166,828.16

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Solution

The fourth proportional to 295,890.80, 408,321.08 and 166,828.16 is: 230,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,890.80 : 408,321.08 = 166,828.16 : x
  2. Step 2: Convert to fraction form
    295,890.80/408,321.08 = 166,828.16/x
  3. Step 3: Cross multiply
    295,890.80x = 408,321.08 × 166,828.16
  4. Step 4: Simplify right side
    295,890.80x = 68,119,451,589.87
  5. Step 5: Solve for x
    x = 68,119,451,589.87/295,890.80
  6. Step 6: Final answer
    x = 230,218.22

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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.