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Finding the Fourth Proportional to 206,953, 285,595.50 and 117,529

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Solution

The fourth proportional to 206,953, 285,595.50 and 117,529 is: 162,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,953 : 285,595.50 = 117,529 : x
  2. Step 2: Convert to fraction form
    206,953/285,595.50 = 117,529/x
  3. Step 3: Cross multiply
    206,953x = 285,595.50 × 117,529
  4. Step 4: Simplify right side
    206,953x = 33,565,753,519.50
  5. Step 5: Solve for x
    x = 33,565,753,519.50/206,953
  6. Step 6: Final answer
    x = 162,190.22

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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.