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Finding the Fourth Proportional to 206,892.56, 285,511.92 and 117,468.56

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Solution

The fourth proportional to 206,892.56, 285,511.92 and 117,468.56 is: 162,106.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.56 : 285,511.92 = 117,468.56 : x
  2. Step 2: Convert to fraction form
    206,892.56/285,511.92 = 117,468.56/x
  3. Step 3: Cross multiply
    206,892.56x = 285,511.92 × 117,468.56
  4. Step 4: Simplify right side
    206,892.56x = 33,538,674,105.24
  5. Step 5: Solve for x
    x = 33,538,674,105.24/206,892.56
  6. Step 6: Final answer
    x = 162,106.72

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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.