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Finding the Fourth Proportional to 206,821.18, 285,405.69 and 126,383.32

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Solution

The fourth proportional to 206,821.18, 285,405.69 and 126,383.32 is: 174,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,821.18 : 285,405.69 = 126,383.32 : x
  2. Step 2: Convert to fraction form
    206,821.18/285,405.69 = 126,383.32/x
  3. Step 3: Cross multiply
    206,821.18x = 285,405.69 × 126,383.32
  4. Step 4: Simplify right side
    206,821.18x = 36,070,518,649.09
  5. Step 5: Solve for x
    x = 36,070,518,649.09/206,821.18
  6. Step 6: Final answer
    x = 174,404.38

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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.