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Finding the Fourth Proportional to 206,076.44, 310,754.31 and 203,266.14

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Solution

The fourth proportional to 206,076.44, 310,754.31 and 203,266.14 is: 306,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076.44 : 310,754.31 = 203,266.14 : x
  2. Step 2: Convert to fraction form
    206,076.44/310,754.31 = 203,266.14/x
  3. Step 3: Cross multiply
    206,076.44x = 310,754.31 × 203,266.14
  4. Step 4: Simplify right side
    206,076.44x = 63,165,829,082.06
  5. Step 5: Solve for x
    x = 63,165,829,082.06/206,076.44
  6. Step 6: Final answer
    x = 306,516.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.