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Finding the Fourth Proportional to 105,993.77, 158,996.13 and 27,108.68

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Solution

The fourth proportional to 105,993.77, 158,996.13 and 27,108.68 is: 40,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,993.77 : 158,996.13 = 27,108.68 : x
  2. Step 2: Convert to fraction form
    105,993.77/158,996.13 = 27,108.68/x
  3. Step 3: Cross multiply
    105,993.77x = 158,996.13 × 27,108.68
  4. Step 4: Simplify right side
    105,993.77x = 4,310,175,209.41
  5. Step 5: Solve for x
    x = 4,310,175,209.41/105,993.77
  6. Step 6: Final answer
    x = 40,664.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.