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Finding the Fourth Proportional to 280,242.34, 420,433.92 and 80,563.09

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Solution

The fourth proportional to 280,242.34, 420,433.92 and 80,563.09 is: 120,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,242.34 : 420,433.92 = 80,563.09 : x
  2. Step 2: Convert to fraction form
    280,242.34/420,433.92 = 80,563.09/x
  3. Step 3: Cross multiply
    280,242.34x = 420,433.92 × 80,563.09
  4. Step 4: Simplify right side
    280,242.34x = 33,871,455,736.01
  5. Step 5: Solve for x
    x = 33,871,455,736.01/280,242.34
  6. Step 6: Final answer
    x = 120,864.88

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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.