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Finding the Fourth Proportional to 271,791.04, 407,584.50 and 94,255.24

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Solution

The fourth proportional to 271,791.04, 407,584.50 and 94,255.24 is: 141,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,791.04 : 407,584.50 = 94,255.24 : x
  2. Step 2: Convert to fraction form
    271,791.04/407,584.50 = 94,255.24/x
  3. Step 3: Cross multiply
    271,791.04x = 407,584.50 × 94,255.24
  4. Step 4: Simplify right side
    271,791.04x = 38,416,974,867.78
  5. Step 5: Solve for x
    x = 38,416,974,867.78/271,791.04
  6. Step 6: Final answer
    x = 141,347.47

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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.