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Finding the Fourth Proportional to 267,846.08, 401,757.60 and 80,852

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Solution

The fourth proportional to 267,846.08, 401,757.60 and 80,852 is: 121,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,846.08 : 401,757.60 = 80,852 : x
  2. Step 2: Convert to fraction form
    267,846.08/401,757.60 = 80,852/x
  3. Step 3: Cross multiply
    267,846.08x = 401,757.60 × 80,852
  4. Step 4: Simplify right side
    267,846.08x = 32,482,905,475.20
  5. Step 5: Solve for x
    x = 32,482,905,475.20/267,846.08
  6. Step 6: Final answer
    x = 121,274.52

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