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Finding the Fourth Proportional to 193,082, 266,173.97 and 135,546.13

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Solution

The fourth proportional to 193,082, 266,173.97 and 135,546.13 is: 186,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,082 : 266,173.97 = 135,546.13 : x
  2. Step 2: Convert to fraction form
    193,082/266,173.97 = 135,546.13/x
  3. Step 3: Cross multiply
    193,082x = 266,173.97 × 135,546.13
  4. Step 4: Simplify right side
    193,082x = 36,078,851,540.24
  5. Step 5: Solve for x
    x = 36,078,851,540.24/193,082
  6. Step 6: Final answer
    x = 186,857.66

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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.