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Finding the Fourth Proportional to 100,164.14, 150,246.22 and 25,288.78

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Solution

The fourth proportional to 100,164.14, 150,246.22 and 25,288.78 is: 37,933.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,164.14 : 150,246.22 = 25,288.78 : x
  2. Step 2: Convert to fraction form
    100,164.14/150,246.22 = 25,288.78/x
  3. Step 3: Cross multiply
    100,164.14x = 150,246.22 × 25,288.78
  4. Step 4: Simplify right side
    100,164.14x = 3,799,543,845.15
  5. Step 5: Solve for x
    x = 3,799,543,845.15/100,164.14
  6. Step 6: Final answer
    x = 37,933.17

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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.