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Finding the Fourth Proportional to 274,082.40, 411,067.10 and 105,544.88

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Solution

The fourth proportional to 274,082.40, 411,067.10 and 105,544.88 is: 158,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,082.40 : 411,067.10 = 105,544.88 : x
  2. Step 2: Convert to fraction form
    274,082.40/411,067.10 = 105,544.88/x
  3. Step 3: Cross multiply
    274,082.40x = 411,067.10 × 105,544.88
  4. Step 4: Simplify right side
    274,082.40x = 43,386,027,741.45
  5. Step 5: Solve for x
    x = 43,386,027,741.45/274,082.40
  6. Step 6: Final answer
    x = 158,295.56

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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.