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Finding the Fourth Proportional to 300,092.52, 414,121.87 and 164,126.06

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Solution

The fourth proportional to 300,092.52, 414,121.87 and 164,126.06 is: 226,490.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,092.52 : 414,121.87 = 164,126.06 : x
  2. Step 2: Convert to fraction form
    300,092.52/414,121.87 = 164,126.06/x
  3. Step 3: Cross multiply
    300,092.52x = 414,121.87 × 164,126.06
  4. Step 4: Simplify right side
    300,092.52x = 67,968,190,882.93
  5. Step 5: Solve for x
    x = 67,968,190,882.93/300,092.52
  6. Step 6: Final answer
    x = 226,490.79

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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.