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Finding the Fourth Proportional to 115,990.26, 160,058.98 and 68,234.38

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Solution

The fourth proportional to 115,990.26, 160,058.98 and 68,234.38 is: 94,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,990.26 : 160,058.98 = 68,234.38 : x
  2. Step 2: Convert to fraction form
    115,990.26/160,058.98 = 68,234.38/x
  3. Step 3: Cross multiply
    115,990.26x = 160,058.98 × 68,234.38
  4. Step 4: Simplify right side
    115,990.26x = 10,921,525,263.73
  5. Step 5: Solve for x
    x = 10,921,525,263.73/115,990.26
  6. Step 6: Final answer
    x = 94,158.99

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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.