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Finding the Fourth Proportional to 106,408.28, 146,844.42 and 58,663.34

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Solution

The fourth proportional to 106,408.28, 146,844.42 and 58,663.34 is: 80,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.28 : 146,844.42 = 58,663.34 : x
  2. Step 2: Convert to fraction form
    106,408.28/146,844.42 = 58,663.34/x
  3. Step 3: Cross multiply
    106,408.28x = 146,844.42 × 58,663.34
  4. Step 4: Simplify right side
    106,408.28x = 8,614,384,137.56
  5. Step 5: Solve for x
    x = 8,614,384,137.56/106,408.28
  6. Step 6: Final answer
    x = 80,955.96

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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.