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Finding the Fourth Proportional to 271,947.80, 407,115.30 and 202,136.60

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Solution

The fourth proportional to 271,947.80, 407,115.30 and 202,136.60 is: 302,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,947.80 : 407,115.30 = 202,136.60 : x
  2. Step 2: Convert to fraction form
    271,947.80/407,115.30 = 202,136.60/x
  3. Step 3: Cross multiply
    271,947.80x = 407,115.30 × 202,136.60
  4. Step 4: Simplify right side
    271,947.80x = 82,292,902,549.98
  5. Step 5: Solve for x
    x = 82,292,902,549.98/271,947.80
  6. Step 6: Final answer
    x = 302,605.51

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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.