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Finding the Fourth Proportional to 203,082.99, 304,717.81 and 76,767.10

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Solution

The fourth proportional to 203,082.99, 304,717.81 and 76,767.10 is: 115,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,082.99 : 304,717.81 = 76,767.10 : x
  2. Step 2: Convert to fraction form
    203,082.99/304,717.81 = 76,767.10/x
  3. Step 3: Cross multiply
    203,082.99x = 304,717.81 × 76,767.10
  4. Step 4: Simplify right side
    203,082.99x = 23,392,302,592.05
  5. Step 5: Solve for x
    x = 23,392,302,592.05/203,082.99
  6. Step 6: Final answer
    x = 115,185.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.