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Finding the Fourth Proportional to 271,588.88, 406,793.64 and 166,088

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Solution

The fourth proportional to 271,588.88, 406,793.64 and 166,088 is: 248,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,588.88 : 406,793.64 = 166,088 : x
  2. Step 2: Convert to fraction form
    271,588.88/406,793.64 = 166,088/x
  3. Step 3: Cross multiply
    271,588.88x = 406,793.64 × 166,088
  4. Step 4: Simplify right side
    271,588.88x = 67,563,542,080.32
  5. Step 5: Solve for x
    x = 67,563,542,080.32/271,588.88
  6. Step 6: Final answer
    x = 248,771.39

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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.