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Finding the Fourth Proportional to 295,757.22, 408,144.66 and 161,621.22

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Solution

The fourth proportional to 295,757.22, 408,144.66 and 161,621.22 is: 223,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,757.22 : 408,144.66 = 161,621.22 : x
  2. Step 2: Convert to fraction form
    295,757.22/408,144.66 = 161,621.22/x
  3. Step 3: Cross multiply
    295,757.22x = 408,144.66 × 161,621.22
  4. Step 4: Simplify right side
    295,757.22x = 65,964,837,885.69
  5. Step 5: Solve for x
    x = 65,964,837,885.69/295,757.22
  6. Step 6: Final answer
    x = 223,037.12

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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.