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Finding the Fourth Proportional to 220,420.26, 304,183.29 and 123,645.57

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Solution

The fourth proportional to 220,420.26, 304,183.29 and 123,645.57 is: 170,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,420.26 : 304,183.29 = 123,645.57 : x
  2. Step 2: Convert to fraction form
    220,420.26/304,183.29 = 123,645.57/x
  3. Step 3: Cross multiply
    220,420.26x = 304,183.29 × 123,645.57
  4. Step 4: Simplify right side
    220,420.26x = 37,610,914,137.38
  5. Step 5: Solve for x
    x = 37,610,914,137.38/220,420.26
  6. Step 6: Final answer
    x = 170,632.75

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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.