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Finding the Fourth Proportional to 103,314.40, 154,993.20 and 33,200.80

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Solution

The fourth proportional to 103,314.40, 154,993.20 and 33,200.80 is: 49,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314.40 : 154,993.20 = 33,200.80 : x
  2. Step 2: Convert to fraction form
    103,314.40/154,993.20 = 33,200.80/x
  3. Step 3: Cross multiply
    103,314.40x = 154,993.20 × 33,200.80
  4. Step 4: Simplify right side
    103,314.40x = 5,145,898,234.56
  5. Step 5: Solve for x
    x = 5,145,898,234.56/103,314.40
  6. Step 6: Final answer
    x = 49,808.14

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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.