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Finding the Fourth Proportional to 271,152.99, 406,647.36 and 81,563.04

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Solution

The fourth proportional to 271,152.99, 406,647.36 and 81,563.04 is: 122,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,152.99 : 406,647.36 = 81,563.04 : x
  2. Step 2: Convert to fraction form
    271,152.99/406,647.36 = 81,563.04/x
  3. Step 3: Cross multiply
    271,152.99x = 406,647.36 × 81,563.04
  4. Step 4: Simplify right side
    271,152.99x = 33,167,394,889.57
  5. Step 5: Solve for x
    x = 33,167,394,889.57/271,152.99
  6. Step 6: Final answer
    x = 122,319.86

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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.