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Finding the Fourth Proportional to 251,874.56, 347,882.14 and 166,844.00

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Solution

The fourth proportional to 251,874.56, 347,882.14 and 166,844.00 is: 230,440.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,874.56 : 347,882.14 = 166,844.00 : x
  2. Step 2: Convert to fraction form
    251,874.56/347,882.14 = 166,844.00/x
  3. Step 3: Cross multiply
    251,874.56x = 347,882.14 × 166,844.00
  4. Step 4: Simplify right side
    251,874.56x = 58,042,048,844.42
  5. Step 5: Solve for x
    x = 58,042,048,844.42/251,874.56
  6. Step 6: Final answer
    x = 230,440.30

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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.