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Finding the Fourth Proportional to 150,969.97, 208,343.28 and 82,992.18

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Solution

The fourth proportional to 150,969.97, 208,343.28 and 82,992.18 is: 114,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,969.97 : 208,343.28 = 82,992.18 : x
  2. Step 2: Convert to fraction form
    150,969.97/208,343.28 = 82,992.18/x
  3. Step 3: Cross multiply
    150,969.97x = 208,343.28 × 82,992.18
  4. Step 4: Simplify right side
    150,969.97x = 17,290,862,995.55
  5. Step 5: Solve for x
    x = 17,290,862,995.55/150,969.97
  6. Step 6: Final answer
    x = 114,531.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.