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Finding the Fourth Proportional to 295,863, 408,290.96 and 161,727

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Solution

The fourth proportional to 295,863, 408,290.96 and 161,727 is: 223,183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,863 : 408,290.96 = 161,727 : x
  2. Step 2: Convert to fraction form
    295,863/408,290.96 = 161,727/x
  3. Step 3: Cross multiply
    295,863x = 408,290.96 × 161,727
  4. Step 4: Simplify right side
    295,863x = 66,031,672,087.92
  5. Step 5: Solve for x
    x = 66,031,672,087.92/295,863
  6. Step 6: Final answer
    x = 223,183.27

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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.