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Finding the Fourth Proportional to 274,362.82, 378,635.38 and 153,496.92

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Solution

The fourth proportional to 274,362.82, 378,635.38 and 153,496.92 is: 211,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,362.82 : 378,635.38 = 153,496.92 : x
  2. Step 2: Convert to fraction form
    274,362.82/378,635.38 = 153,496.92/x
  3. Step 3: Cross multiply
    274,362.82x = 378,635.38 × 153,496.92
  4. Step 4: Simplify right side
    274,362.82x = 58,119,364,633.03
  5. Step 5: Solve for x
    x = 58,119,364,633.03/274,362.82
  6. Step 6: Final answer
    x = 211,833.97

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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.