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Finding the Fourth Proportional to 206,593.61, 285,063.19 and 115,953.40

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Solution

The fourth proportional to 206,593.61, 285,063.19 and 115,953.40 is: 159,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.61 : 285,063.19 = 115,953.40 : x
  2. Step 2: Convert to fraction form
    206,593.61/285,063.19 = 115,953.40/x
  3. Step 3: Cross multiply
    206,593.61x = 285,063.19 × 115,953.40
  4. Step 4: Simplify right side
    206,593.61x = 33,054,045,092.80
  5. Step 5: Solve for x
    x = 33,054,045,092.80/206,593.61
  6. Step 6: Final answer
    x = 159,995.48

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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.