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Finding the Fourth Proportional to 271,133.33, 406,697.94 and 81,592.87

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Solution

The fourth proportional to 271,133.33, 406,697.94 and 81,592.87 is: 122,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,133.33 : 406,697.94 = 81,592.87 : x
  2. Step 2: Convert to fraction form
    271,133.33/406,697.94 = 81,592.87/x
  3. Step 3: Cross multiply
    271,133.33x = 406,697.94 × 81,592.87
  4. Step 4: Simplify right side
    271,133.33x = 33,183,651,664.02
  5. Step 5: Solve for x
    x = 33,183,651,664.02/271,133.33
  6. Step 6: Final answer
    x = 122,388.69

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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.