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Finding the Fourth Proportional to 295,876.36, 408,308.82 and 161,740.36

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Solution

The fourth proportional to 295,876.36, 408,308.82 and 161,740.36 is: 223,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,876.36 : 408,308.82 = 161,740.36 : x
  2. Step 2: Convert to fraction form
    295,876.36/408,308.82 = 161,740.36/x
  3. Step 3: Cross multiply
    295,876.36x = 408,308.82 × 161,740.36
  4. Step 4: Simplify right side
    295,876.36x = 66,040,015,537.98
  5. Step 5: Solve for x
    x = 66,040,015,537.98/295,876.36
  6. Step 6: Final answer
    x = 223,201.39

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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.