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Finding the Fourth Proportional to 271,968.30, 408,070.44 and 103,536.54

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Solution

The fourth proportional to 271,968.30, 408,070.44 and 103,536.54 is: 155,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,968.30 : 408,070.44 = 103,536.54 : x
  2. Step 2: Convert to fraction form
    271,968.30/408,070.44 = 103,536.54/x
  3. Step 3: Cross multiply
    271,968.30x = 408,070.44 × 103,536.54
  4. Step 4: Simplify right side
    271,968.30x = 42,250,201,433.88
  5. Step 5: Solve for x
    x = 42,250,201,433.88/271,968.30
  6. Step 6: Final answer
    x = 155,349.73

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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.