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Finding the Fourth Proportional to 202,260.40, 303,144.60 and 143,113.12

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Solution

The fourth proportional to 202,260.40, 303,144.60 and 143,113.12 is: 214,495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,260.40 : 303,144.60 = 143,113.12 : x
  2. Step 2: Convert to fraction form
    202,260.40/303,144.60 = 143,113.12/x
  3. Step 3: Cross multiply
    202,260.40x = 303,144.60 × 143,113.12
  4. Step 4: Simplify right side
    202,260.40x = 43,383,969,517.15
  5. Step 5: Solve for x
    x = 43,383,969,517.15/202,260.40
  6. Step 6: Final answer
    x = 214,495.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.