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Finding the Fourth Proportional to 304,149.66, 419,722.16 and 168,180.63

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Solution

The fourth proportional to 304,149.66, 419,722.16 and 168,180.63 is: 232,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,149.66 : 419,722.16 = 168,180.63 : x
  2. Step 2: Convert to fraction form
    304,149.66/419,722.16 = 168,180.63/x
  3. Step 3: Cross multiply
    304,149.66x = 419,722.16 × 168,180.63
  4. Step 4: Simplify right side
    304,149.66x = 70,589,136,452.86
  5. Step 5: Solve for x
    x = 70,589,136,452.86/304,149.66
  6. Step 6: Final answer
    x = 232,086.85

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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.