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Finding the Fourth Proportional to 274,107.24, 411,335.82 and 105,763.32

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Solution

The fourth proportional to 274,107.24, 411,335.82 and 105,763.32 is: 158,712.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,107.24 : 411,335.82 = 105,763.32 : x
  2. Step 2: Convert to fraction form
    274,107.24/411,335.82 = 105,763.32/x
  3. Step 3: Cross multiply
    274,107.24x = 411,335.82 × 105,763.32
  4. Step 4: Simplify right side
    274,107.24x = 43,504,241,958.12
  5. Step 5: Solve for x
    x = 43,504,241,958.12/274,107.24
  6. Step 6: Final answer
    x = 158,712.49

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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.