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Finding the Fourth Proportional to 202,285.40, 303,464.55 and 83,968.70

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Solution

The fourth proportional to 202,285.40, 303,464.55 and 83,968.70 is: 125,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,285.40 : 303,464.55 = 83,968.70 : x
  2. Step 2: Convert to fraction form
    202,285.40/303,464.55 = 83,968.70/x
  3. Step 3: Cross multiply
    202,285.40x = 303,464.55 × 83,968.70
  4. Step 4: Simplify right side
    202,285.40x = 25,481,523,759.59
  5. Step 5: Solve for x
    x = 25,481,523,759.59/202,285.40
  6. Step 6: Final answer
    x = 125,968.18

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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.