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Finding the Fourth Proportional to 206,593.94, 285,087.66 and 115,941.44

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Solution

The fourth proportional to 206,593.94, 285,087.66 and 115,941.44 is: 159,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,593.94 : 285,087.66 = 115,941.44 : x
  2. Step 2: Convert to fraction form
    206,593.94/285,087.66 = 115,941.44/x
  3. Step 3: Cross multiply
    206,593.94x = 285,087.66 × 115,941.44
  4. Step 4: Simplify right side
    206,593.94x = 33,053,473,826.63
  5. Step 5: Solve for x
    x = 33,053,473,826.63/206,593.94
  6. Step 6: Final answer
    x = 159,992.47

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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.