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Finding the Fourth Proportional to 106,408.62, 146,843.91 and 58,661.46

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Solution

The fourth proportional to 106,408.62, 146,843.91 and 58,661.46 is: 80,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.62 : 146,843.91 = 58,661.46 : x
  2. Step 2: Convert to fraction form
    106,408.62/146,843.91 = 58,661.46/x
  3. Step 3: Cross multiply
    106,408.62x = 146,843.91 × 58,661.46
  4. Step 4: Simplify right side
    106,408.62x = 8,614,078,152.71
  5. Step 5: Solve for x
    x = 8,614,078,152.71/106,408.62
  6. Step 6: Final answer
    x = 80,952.82

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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.