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Finding the Fourth Proportional to 106,492.73, 146,960.10 and 58,745.97

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Solution

The fourth proportional to 106,492.73, 146,960.10 and 58,745.97 is: 81,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.73 : 146,960.10 = 58,745.97 : x
  2. Step 2: Convert to fraction form
    106,492.73/146,960.10 = 58,745.97/x
  3. Step 3: Cross multiply
    106,492.73x = 146,960.10 × 58,745.97
  4. Step 4: Simplify right side
    106,492.73x = 8,633,313,625.80
  5. Step 5: Solve for x
    x = 8,633,313,625.80/106,492.73
  6. Step 6: Final answer
    x = 81,069.52

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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.