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Finding the Fourth Proportional to 106,408.35, 146,844.50 and 58,663.40

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Solution

The fourth proportional to 106,408.35, 146,844.50 and 58,663.40 is: 80,956.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,408.35 : 146,844.50 = 58,663.40 : x
  2. Step 2: Convert to fraction form
    106,408.35/146,844.50 = 58,663.40/x
  3. Step 3: Cross multiply
    106,408.35x = 146,844.50 × 58,663.40
  4. Step 4: Simplify right side
    106,408.35x = 8,614,396,613.76
  5. Step 5: Solve for x
    x = 8,614,396,613.76/106,408.35
  6. Step 6: Final answer
    x = 80,956.02

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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.