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Finding the Fourth Proportional to 275,682.60, 413,305.20 and 151,023.60

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Solution

The fourth proportional to 275,682.60, 413,305.20 and 151,023.60 is: 226,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,682.60 : 413,305.20 = 151,023.60 : x
  2. Step 2: Convert to fraction form
    275,682.60/413,305.20 = 151,023.60/x
  3. Step 3: Cross multiply
    275,682.60x = 413,305.20 × 151,023.60
  4. Step 4: Simplify right side
    275,682.60x = 62,418,839,202.72
  5. Step 5: Solve for x
    x = 62,418,839,202.72/275,682.60
  6. Step 6: Final answer
    x = 226,415.59

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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.