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Finding the Fourth Proportional to 271,936.51, 407,843.24 and 103,396.70

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Solution

The fourth proportional to 271,936.51, 407,843.24 and 103,396.70 is: 155,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,936.51 : 407,843.24 = 103,396.70 : x
  2. Step 2: Convert to fraction form
    271,936.51/407,843.24 = 103,396.70/x
  3. Step 3: Cross multiply
    271,936.51x = 407,843.24 × 103,396.70
  4. Step 4: Simplify right side
    271,936.51x = 42,169,645,635.93
  5. Step 5: Solve for x
    x = 42,169,645,635.93/271,936.51
  6. Step 6: Final answer
    x = 155,071.66

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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.