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Finding the Fourth Proportional to 299,714.60, 449,507.10 and 131,234.60

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Solution

The fourth proportional to 299,714.60, 449,507.10 and 131,234.60 is: 196,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,714.60 : 449,507.10 = 131,234.60 : x
  2. Step 2: Convert to fraction form
    299,714.60/449,507.10 = 131,234.60/x
  3. Step 3: Cross multiply
    299,714.60x = 449,507.10 × 131,234.60
  4. Step 4: Simplify right side
    299,714.60x = 58,990,884,465.66
  5. Step 5: Solve for x
    x = 58,990,884,465.66/299,714.60
  6. Step 6: Final answer
    x = 196,823.53

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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.