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Finding the Fourth Proportional to 195,841.96, 293,672.22 and 158,309.80

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Solution

The fourth proportional to 195,841.96, 293,672.22 and 158,309.80 is: 237,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,841.96 : 293,672.22 = 158,309.80 : x
  2. Step 2: Convert to fraction form
    195,841.96/293,672.22 = 158,309.80/x
  3. Step 3: Cross multiply
    195,841.96x = 293,672.22 × 158,309.80
  4. Step 4: Simplify right side
    195,841.96x = 46,491,190,413.76
  5. Step 5: Solve for x
    x = 46,491,190,413.76/195,841.96
  6. Step 6: Final answer
    x = 237,391.37

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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.