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Finding the Fourth Proportional to 106,149.60, 146,481.12 and 58,401.68

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Solution

The fourth proportional to 106,149.60, 146,481.12 and 58,401.68 is: 80,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,149.60 : 146,481.12 = 58,401.68 : x
  2. Step 2: Convert to fraction form
    106,149.60/146,481.12 = 58,401.68/x
  3. Step 3: Cross multiply
    106,149.60x = 146,481.12 × 58,401.68
  4. Step 4: Simplify right side
    106,149.60x = 8,554,743,496.28
  5. Step 5: Solve for x
    x = 8,554,743,496.28/106,149.60
  6. Step 6: Final answer
    x = 80,591.39

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1.5x scale

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.