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Finding the Fourth Proportional to 106,508.54, 146,982.26 and 58,763.30

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Solution

The fourth proportional to 106,508.54, 146,982.26 and 58,763.30 is: 81,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508.54 : 146,982.26 = 58,763.30 : x
  2. Step 2: Convert to fraction form
    106,508.54/146,982.26 = 58,763.30/x
  3. Step 3: Cross multiply
    106,508.54x = 146,982.26 × 58,763.30
  4. Step 4: Simplify right side
    106,508.54x = 8,637,162,051.05
  5. Step 5: Solve for x
    x = 8,637,162,051.05/106,508.54
  6. Step 6: Final answer
    x = 81,093.61

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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.