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Finding the Fourth Proportional to 202,134.40, 303,201.60 and 96,899.20

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Solution

The fourth proportional to 202,134.40, 303,201.60 and 96,899.20 is: 145,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,134.40 : 303,201.60 = 96,899.20 : x
  2. Step 2: Convert to fraction form
    202,134.40/303,201.60 = 96,899.20/x
  3. Step 3: Cross multiply
    202,134.40x = 303,201.60 × 96,899.20
  4. Step 4: Simplify right side
    202,134.40x = 29,379,992,478.72
  5. Step 5: Solve for x
    x = 29,379,992,478.72/202,134.40
  6. Step 6: Final answer
    x = 145,348.80

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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.