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Finding the Fourth Proportional to 347,793.20, 521,714.10 and 137,403.80

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Solution

The fourth proportional to 347,793.20, 521,714.10 and 137,403.80 is: 206,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,793.20 : 521,714.10 = 137,403.80 : x
  2. Step 2: Convert to fraction form
    347,793.20/521,714.10 = 137,403.80/x
  3. Step 3: Cross multiply
    347,793.20x = 521,714.10 × 137,403.80
  4. Step 4: Simplify right side
    347,793.20x = 71,685,499,853.58
  5. Step 5: Solve for x
    x = 71,685,499,853.58/347,793.20
  6. Step 6: Final answer
    x = 206,115.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.