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Finding the Fourth Proportional to 206,841.42, 285,432.12 and 126,403.56

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Solution

The fourth proportional to 206,841.42, 285,432.12 and 126,403.56 is: 174,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,841.42 : 285,432.12 = 126,403.56 : x
  2. Step 2: Convert to fraction form
    206,841.42/285,432.12 = 126,403.56/x
  3. Step 3: Cross multiply
    206,841.42x = 285,432.12 × 126,403.56
  4. Step 4: Simplify right side
    206,841.42x = 36,079,636,106.35
  5. Step 5: Solve for x
    x = 36,079,636,106.35/206,841.42
  6. Step 6: Final answer
    x = 174,431.39

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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.