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Finding the Fourth Proportional to 106,809.66, 160,221.78 and 36,738.18

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Solution

The fourth proportional to 106,809.66, 160,221.78 and 36,738.18 is: 55,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809.66 : 160,221.78 = 36,738.18 : x
  2. Step 2: Convert to fraction form
    106,809.66/160,221.78 = 36,738.18/x
  3. Step 3: Cross multiply
    106,809.66x = 160,221.78 × 36,738.18
  4. Step 4: Simplify right side
    106,809.66x = 5,886,256,593.56
  5. Step 5: Solve for x
    x = 5,886,256,593.56/106,809.66
  6. Step 6: Final answer
    x = 55,109.78

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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.