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Finding the Fourth Proportional to 150,266, 207,373.56 and 83,198

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Solution

The fourth proportional to 150,266, 207,373.56 and 83,198 is: 114,816.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,266 : 207,373.56 = 83,198 : x
  2. Step 2: Convert to fraction form
    150,266/207,373.56 = 83,198/x
  3. Step 3: Cross multiply
    150,266x = 207,373.56 × 83,198
  4. Step 4: Simplify right side
    150,266x = 17,253,065,444.88
  5. Step 5: Solve for x
    x = 17,253,065,444.88/150,266
  6. Step 6: Final answer
    x = 114,816.83

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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.