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Finding the Fourth Proportional to 271,992.80, 407,182.80 and 202,181.60

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Solution

The fourth proportional to 271,992.80, 407,182.80 and 202,181.60 is: 302,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,992.80 : 407,182.80 = 202,181.60 : x
  2. Step 2: Convert to fraction form
    271,992.80/407,182.80 = 202,181.60/x
  3. Step 3: Cross multiply
    271,992.80x = 407,182.80 × 202,181.60
  4. Step 4: Simplify right side
    271,992.80x = 82,324,869,996.48
  5. Step 5: Solve for x
    x = 82,324,869,996.48/271,992.80
  6. Step 6: Final answer
    x = 302,672.98

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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.