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Finding the Fourth Proportional to 117,960.82, 176,766.22 and 86,642.98

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Solution

The fourth proportional to 117,960.82, 176,766.22 and 86,642.98 is: 129,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960.82 : 176,766.22 = 86,642.98 : x
  2. Step 2: Convert to fraction form
    117,960.82/176,766.22 = 86,642.98/x
  3. Step 3: Cross multiply
    117,960.82x = 176,766.22 × 86,642.98
  4. Step 4: Simplify right side
    117,960.82x = 15,315,552,064.14
  5. Step 5: Solve for x
    x = 15,315,552,064.14/117,960.82
  6. Step 6: Final answer
    x = 129,835.92

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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.