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Finding the Fourth Proportional to 271,564.36, 407,293.80 and 136,592.44

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Solution

The fourth proportional to 271,564.36, 407,293.80 and 136,592.44 is: 204,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,564.36 : 407,293.80 = 136,592.44 : x
  2. Step 2: Convert to fraction form
    271,564.36/407,293.80 = 136,592.44/x
  3. Step 3: Cross multiply
    271,564.36x = 407,293.80 × 136,592.44
  4. Step 4: Simplify right side
    271,564.36x = 55,633,253,938.87
  5. Step 5: Solve for x
    x = 55,633,253,938.87/271,564.36
  6. Step 6: Final answer
    x = 204,862.13

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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.