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Finding the Fourth Proportional to 192,082.36, 265,092.08 and 107,207.32

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Solution

The fourth proportional to 192,082.36, 265,092.08 and 107,207.32 is: 147,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,082.36 : 265,092.08 = 107,207.32 : x
  2. Step 2: Convert to fraction form
    192,082.36/265,092.08 = 107,207.32/x
  3. Step 3: Cross multiply
    192,082.36x = 265,092.08 × 107,207.32
  4. Step 4: Simplify right side
    192,082.36x = 28,419,811,450.03
  5. Step 5: Solve for x
    x = 28,419,811,450.03/192,082.36
  6. Step 6: Final answer
    x = 147,956.38

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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.