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Finding the Fourth Proportional to 80,216.92, 120,284.90 and 46,946.98

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Solution

The fourth proportional to 80,216.92, 120,284.90 and 46,946.98 is: 70,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,216.92 : 120,284.90 = 46,946.98 : x
  2. Step 2: Convert to fraction form
    80,216.92/120,284.90 = 46,946.98/x
  3. Step 3: Cross multiply
    80,216.92x = 120,284.90 × 46,946.98
  4. Step 4: Simplify right side
    80,216.92x = 5,647,012,794.60
  5. Step 5: Solve for x
    x = 5,647,012,794.60/80,216.92
  6. Step 6: Final answer
    x = 70,396.78

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1.5x scale

Why These Related Problems?

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