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Finding the Fourth Proportional to 100,147.97, 150,242.09 and 36,968.49

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Solution

The fourth proportional to 100,147.97, 150,242.09 and 36,968.49 is: 55,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,147.97 : 150,242.09 = 36,968.49 : x
  2. Step 2: Convert to fraction form
    100,147.97/150,242.09 = 36,968.49/x
  3. Step 3: Cross multiply
    100,147.97x = 150,242.09 × 36,968.49
  4. Step 4: Simplify right side
    100,147.97x = 5,554,223,016.90
  5. Step 5: Solve for x
    x = 5,554,223,016.90/100,147.97
  6. Step 6: Final answer
    x = 55,460.16

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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.