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Finding the Fourth Proportional to 150,266.25, 207,373.91 and 83,198.25

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Solution

The fourth proportional to 150,266.25, 207,373.91 and 83,198.25 is: 114,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,266.25 : 207,373.91 = 83,198.25 : x
  2. Step 2: Convert to fraction form
    150,266.25/207,373.91 = 83,198.25/x
  3. Step 3: Cross multiply
    150,266.25x = 207,373.91 × 83,198.25
  4. Step 4: Simplify right side
    150,266.25x = 17,253,145,991.67
  5. Step 5: Solve for x
    x = 17,253,145,991.67/150,266.25
  6. Step 6: Final answer
    x = 114,817.17

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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.