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Finding the Fourth Proportional to 271,954.88, 407,894.65 and 72,291.50

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Solution

The fourth proportional to 271,954.88, 407,894.65 and 72,291.50 is: 108,427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,954.88 : 407,894.65 = 72,291.50 : x
  2. Step 2: Convert to fraction form
    271,954.88/407,894.65 = 72,291.50/x
  3. Step 3: Cross multiply
    271,954.88x = 407,894.65 × 72,291.50
  4. Step 4: Simplify right side
    271,954.88x = 29,487,315,399.88
  5. Step 5: Solve for x
    x = 29,487,315,399.88/271,954.88
  6. Step 6: Final answer
    x = 108,427.23

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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.