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Finding the Fourth Proportional to 271,786.38, 407,751.92 and 94,293.10

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Solution

The fourth proportional to 271,786.38, 407,751.92 and 94,293.10 is: 141,464.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,786.38 : 407,751.92 = 94,293.10 : x
  2. Step 2: Convert to fraction form
    271,786.38/407,751.92 = 94,293.10/x
  3. Step 3: Cross multiply
    271,786.38x = 407,751.92 × 94,293.10
  4. Step 4: Simplify right side
    271,786.38x = 38,448,192,567.75
  5. Step 5: Solve for x
    x = 38,448,192,567.75/271,786.38
  6. Step 6: Final answer
    x = 141,464.75

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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.