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Finding the Fourth Proportional to 206,804.82, 285,384.42 and 114,923.79

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Solution

The fourth proportional to 206,804.82, 285,384.42 and 114,923.79 is: 158,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,804.82 : 285,384.42 = 114,923.79 : x
  2. Step 2: Convert to fraction form
    206,804.82/285,384.42 = 114,923.79/x
  3. Step 3: Cross multiply
    206,804.82x = 285,384.42 × 114,923.79
  4. Step 4: Simplify right side
    206,804.82x = 32,797,459,153.35
  5. Step 5: Solve for x
    x = 32,797,459,153.35/206,804.82
  6. Step 6: Final answer
    x = 158,591.37

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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.