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Finding the Fourth Proportional to 280,026.21, 420,028.50 and 80,346.56

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Solution

The fourth proportional to 280,026.21, 420,028.50 and 80,346.56 is: 120,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,026.21 : 420,028.50 = 80,346.56 : x
  2. Step 2: Convert to fraction form
    280,026.21/420,028.50 = 80,346.56/x
  3. Step 3: Cross multiply
    280,026.21x = 420,028.50 × 80,346.56
  4. Step 4: Simplify right side
    280,026.21x = 33,747,846,778.48
  5. Step 5: Solve for x
    x = 33,747,846,778.48/280,026.21
  6. Step 6: Final answer
    x = 120,516.74

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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.