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Finding the Fourth Proportional to 206,805.82, 285,385.80 and 114,924.79

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Solution

The fourth proportional to 206,805.82, 285,385.80 and 114,924.79 is: 158,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,805.82 : 285,385.80 = 114,924.79 : x
  2. Step 2: Convert to fraction form
    206,805.82/285,385.80 = 114,924.79/x
  3. Step 3: Cross multiply
    206,805.82x = 285,385.80 × 114,924.79
  4. Step 4: Simplify right side
    206,805.82x = 32,797,903,133.98
  5. Step 5: Solve for x
    x = 32,797,903,133.98/206,805.82
  6. Step 6: Final answer
    x = 158,592.75

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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.