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Finding the Fourth Proportional to 299,939.98, 413,922.10 and 179,091.82

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Solution

The fourth proportional to 299,939.98, 413,922.10 and 179,091.82 is: 247,149.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,939.98 : 413,922.10 = 179,091.82 : x
  2. Step 2: Convert to fraction form
    299,939.98/413,922.10 = 179,091.82/x
  3. Step 3: Cross multiply
    299,939.98x = 413,922.10 × 179,091.82
  4. Step 4: Simplify right side
    299,939.98x = 74,130,062,227.22
  5. Step 5: Solve for x
    x = 74,130,062,227.22/299,939.98
  6. Step 6: Final answer
    x = 247,149.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.