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Finding the Fourth Proportional to 206,596.65, 285,103.36 and 115,952.61

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Solution

The fourth proportional to 206,596.65, 285,103.36 and 115,952.61 is: 160,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.65 : 285,103.36 = 115,952.61 : x
  2. Step 2: Convert to fraction form
    206,596.65/285,103.36 = 115,952.61/x
  3. Step 3: Cross multiply
    206,596.65x = 285,103.36 × 115,952.61
  4. Step 4: Simplify right side
    206,596.65x = 33,058,478,711.77
  5. Step 5: Solve for x
    x = 33,058,478,711.77/206,596.65
  6. Step 6: Final answer
    x = 160,014.59

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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.