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Finding the Fourth Proportional to 106,408.91, 146,845.27 and 58,663.97

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Solution

The fourth proportional to 106,408.91, 146,845.27 and 58,663.97 is: 80,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.91 : 146,845.27 = 58,663.97 : x
  2. Step 2: Convert to fraction form
    106,408.91/146,845.27 = 58,663.97/x
  3. Step 3: Cross multiply
    106,408.91x = 146,845.27 × 58,663.97
  4. Step 4: Simplify right side
    106,408.91x = 8,614,525,633.04
  5. Step 5: Solve for x
    x = 8,614,525,633.04/106,408.91
  6. Step 6: Final answer
    x = 80,956.81

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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.