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Finding the Fourth Proportional to 412,183.26, 618,304.95 and 127,837.71

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Solution

The fourth proportional to 412,183.26, 618,304.95 and 127,837.71 is: 191,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,183.26 : 618,304.95 = 127,837.71 : x
  2. Step 2: Convert to fraction form
    412,183.26/618,304.95 = 127,837.71/x
  3. Step 3: Cross multiply
    412,183.26x = 618,304.95 × 127,837.71
  4. Step 4: Simplify right side
    412,183.26x = 79,042,688,889.66
  5. Step 5: Solve for x
    x = 79,042,688,889.66/412,183.26
  6. Step 6: Final answer
    x = 191,765.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.