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Finding the Fourth Proportional to 106,309.82, 146,706.87 and 58,562.06

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Solution

The fourth proportional to 106,309.82, 146,706.87 and 58,562.06 is: 80,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,309.82 : 146,706.87 = 58,562.06 : x
  2. Step 2: Convert to fraction form
    106,309.82/146,706.87 = 58,562.06/x
  3. Step 3: Cross multiply
    106,309.82x = 146,706.87 × 58,562.06
  4. Step 4: Simplify right side
    106,309.82x = 8,591,456,523.35
  5. Step 5: Solve for x
    x = 8,591,456,523.35/106,309.82
  6. Step 6: Final answer
    x = 80,815.27

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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.