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Finding the Fourth Proportional to 80,200.74, 110,679.63 and 46,206.56

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Solution

The fourth proportional to 80,200.74, 110,679.63 and 46,206.56 is: 63,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,200.74 : 110,679.63 = 46,206.56 : x
  2. Step 2: Convert to fraction form
    80,200.74/110,679.63 = 46,206.56/x
  3. Step 3: Cross multiply
    80,200.74x = 110,679.63 × 46,206.56
  4. Step 4: Simplify right side
    80,200.74x = 5,114,124,410.97
  5. Step 5: Solve for x
    x = 5,114,124,410.97/80,200.74
  6. Step 6: Final answer
    x = 63,766.55

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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.