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Finding the Fourth Proportional to 140,199.64, 193,452.68 and 82,831

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Solution

The fourth proportional to 140,199.64, 193,452.68 and 82,831 is: 114,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,199.64 : 193,452.68 = 82,831 : x
  2. Step 2: Convert to fraction form
    140,199.64/193,452.68 = 82,831/x
  3. Step 3: Cross multiply
    140,199.64x = 193,452.68 × 82,831
  4. Step 4: Simplify right side
    140,199.64x = 16,023,878,937.08
  5. Step 5: Solve for x
    x = 16,023,878,937.08/140,199.64
  6. Step 6: Final answer
    x = 114,293.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.