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Finding the Fourth Proportional to 202,142.49, 303,410.94 and 166,962.21

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Solution

The fourth proportional to 202,142.49, 303,410.94 and 166,962.21 is: 250,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,142.49 : 303,410.94 = 166,962.21 : x
  2. Step 2: Convert to fraction form
    202,142.49/303,410.94 = 166,962.21/x
  3. Step 3: Cross multiply
    202,142.49x = 303,410.94 × 166,962.21
  4. Step 4: Simplify right side
    202,142.49x = 50,658,160,454.47
  5. Step 5: Solve for x
    x = 50,658,160,454.47/202,142.49
  6. Step 6: Final answer
    x = 250,606.19

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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.