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Finding the Fourth Proportional to 217,249.94, 299,822.58 and 120,463.43

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Solution

The fourth proportional to 217,249.94, 299,822.58 and 120,463.43 is: 166,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,249.94 : 299,822.58 = 120,463.43 : x
  2. Step 2: Convert to fraction form
    217,249.94/299,822.58 = 120,463.43/x
  3. Step 3: Cross multiply
    217,249.94x = 299,822.58 × 120,463.43
  4. Step 4: Simplify right side
    217,249.94x = 36,117,654,879.14
  5. Step 5: Solve for x
    x = 36,117,654,879.14/217,249.94
  6. Step 6: Final answer
    x = 166,249.32

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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.