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Finding the Fourth Proportional to 223,796.21, 335,694.32 and 214,077.73

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Solution

The fourth proportional to 223,796.21, 335,694.32 and 214,077.73 is: 321,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,796.21 : 335,694.32 = 214,077.73 : x
  2. Step 2: Convert to fraction form
    223,796.21/335,694.32 = 214,077.73/x
  3. Step 3: Cross multiply
    223,796.21x = 335,694.32 × 214,077.73
  4. Step 4: Simplify right side
    223,796.21x = 71,864,677,999.49
  5. Step 5: Solve for x
    x = 71,864,677,999.49/223,796.21
  6. Step 6: Final answer
    x = 321,116.60

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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.