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Finding the Fourth Proportional to 180,803.40, 270,945.90 and 133,045.80

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Solution

The fourth proportional to 180,803.40, 270,945.90 and 133,045.80 is: 199,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,803.40 : 270,945.90 = 133,045.80 : x
  2. Step 2: Convert to fraction form
    180,803.40/270,945.90 = 133,045.80/x
  3. Step 3: Cross multiply
    180,803.40x = 270,945.90 × 133,045.80
  4. Step 4: Simplify right side
    180,803.40x = 36,048,214,022.22
  5. Step 5: Solve for x
    x = 36,048,214,022.22/180,803.40
  6. Step 6: Final answer
    x = 199,377.97

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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.