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Finding the Fourth Proportional to 274,493.83, 378,801.42 and 153,635.13

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Solution

The fourth proportional to 274,493.83, 378,801.42 and 153,635.13 is: 212,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,493.83 : 378,801.42 = 153,635.13 : x
  2. Step 2: Convert to fraction form
    274,493.83/378,801.42 = 153,635.13/x
  3. Step 3: Cross multiply
    274,493.83x = 378,801.42 × 153,635.13
  4. Step 4: Simplify right side
    274,493.83x = 58,197,202,743.70
  5. Step 5: Solve for x
    x = 58,197,202,743.70/274,493.83
  6. Step 6: Final answer
    x = 212,016.43

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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.