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Finding the Fourth Proportional to 80,200.50, 110,701.34 and 46,231.70

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Solution

The fourth proportional to 80,200.50, 110,701.34 and 46,231.70 is: 63,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,200.50 : 110,701.34 = 46,231.70 : x
  2. Step 2: Convert to fraction form
    80,200.50/110,701.34 = 46,231.70/x
  3. Step 3: Cross multiply
    80,200.50x = 110,701.34 × 46,231.70
  4. Step 4: Simplify right side
    80,200.50x = 5,117,910,355.81
  5. Step 5: Solve for x
    x = 5,117,910,355.81/80,200.50
  6. Step 6: Final answer
    x = 63,813.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.