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Finding the Fourth Proportional to 100,145.14, 150,213.78 and 25,264.30

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Solution

The fourth proportional to 100,145.14, 150,213.78 and 25,264.30 is: 37,895.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145.14 : 150,213.78 = 25,264.30 : x
  2. Step 2: Convert to fraction form
    100,145.14/150,213.78 = 25,264.30/x
  3. Step 3: Cross multiply
    100,145.14x = 150,213.78 × 25,264.30
  4. Step 4: Simplify right side
    100,145.14x = 3,795,046,002.05
  5. Step 5: Solve for x
    x = 3,795,046,002.05/100,145.14
  6. Step 6: Final answer
    x = 37,895.46

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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.