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Finding the Fourth Proportional to 271,907.42, 407,902.62 and 138,715.04

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Solution

The fourth proportional to 271,907.42, 407,902.62 and 138,715.04 is: 208,093.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,907.42 : 407,902.62 = 138,715.04 : x
  2. Step 2: Convert to fraction form
    271,907.42/407,902.62 = 138,715.04/x
  3. Step 3: Cross multiply
    271,907.42x = 407,902.62 × 138,715.04
  4. Step 4: Simplify right side
    271,907.42x = 56,582,228,249.40
  5. Step 5: Solve for x
    x = 56,582,228,249.40/271,907.42
  6. Step 6: Final answer
    x = 208,093.73

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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.