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Finding the Fourth Proportional to 133,020.40, 199,431.40 and 80,418.80

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Solution

The fourth proportional to 133,020.40, 199,431.40 and 80,418.80 is: 120,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,020.40 : 199,431.40 = 80,418.80 : x
  2. Step 2: Convert to fraction form
    133,020.40/199,431.40 = 80,418.80/x
  3. Step 3: Cross multiply
    133,020.40x = 199,431.40 × 80,418.80
  4. Step 4: Simplify right side
    133,020.40x = 16,038,033,870.32
  5. Step 5: Solve for x
    x = 16,038,033,870.32/133,020.40
  6. Step 6: Final answer
    x = 120,568.23

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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.