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Finding the Fourth Proportional to 133,022.40, 199,434.40 and 80,420.80

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Solution

The fourth proportional to 133,022.40, 199,434.40 and 80,420.80 is: 120,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022.40 : 199,434.40 = 80,420.80 : x
  2. Step 2: Convert to fraction form
    133,022.40/199,434.40 = 80,420.80/x
  3. Step 3: Cross multiply
    133,022.40x = 199,434.40 × 80,420.80
  4. Step 4: Simplify right side
    133,022.40x = 16,038,673,995.52
  5. Step 5: Solve for x
    x = 16,038,673,995.52/133,022.40
  6. Step 6: Final answer
    x = 120,571.23

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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.