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Finding the Fourth Proportional to 203,046.84, 279,936.18 and 166,614.84

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Solution

The fourth proportional to 203,046.84, 279,936.18 and 166,614.84 is: 229,708.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,046.84 : 279,936.18 = 166,614.84 : x
  2. Step 2: Convert to fraction form
    203,046.84/279,936.18 = 166,614.84/x
  3. Step 3: Cross multiply
    203,046.84x = 279,936.18 × 166,614.84
  4. Step 4: Simplify right side
    203,046.84x = 46,641,521,840.91
  5. Step 5: Solve for x
    x = 46,641,521,840.91/203,046.84
  6. Step 6: Final answer
    x = 229,708.19

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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.