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Finding the Fourth Proportional to 206,497.20, 285,066.27 and 138,489.30

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Solution

The fourth proportional to 206,497.20, 285,066.27 and 138,489.30 is: 191,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,497.20 : 285,066.27 = 138,489.30 : x
  2. Step 2: Convert to fraction form
    206,497.20/285,066.27 = 138,489.30/x
  3. Step 3: Cross multiply
    206,497.20x = 285,066.27 × 138,489.30
  4. Step 4: Simplify right side
    206,497.20x = 39,478,628,185.91
  5. Step 5: Solve for x
    x = 39,478,628,185.91/206,497.20
  6. Step 6: Final answer
    x = 191,182.39

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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.