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Finding the Fourth Proportional to 280,172.55, 420,213.71 and 80,447.50

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Solution

The fourth proportional to 280,172.55, 420,213.71 and 80,447.50 is: 120,658.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,172.55 : 420,213.71 = 80,447.50 : x
  2. Step 2: Convert to fraction form
    280,172.55/420,213.71 = 80,447.50/x
  3. Step 3: Cross multiply
    280,172.55x = 420,213.71 × 80,447.50
  4. Step 4: Simplify right side
    280,172.55x = 33,805,143,890.94
  5. Step 5: Solve for x
    x = 33,805,143,890.94/280,172.55
  6. Step 6: Final answer
    x = 120,658.30

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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.