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Finding the Fourth Proportional to 271,970.14, 407,954.76 and 72,290.52

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Solution

The fourth proportional to 271,970.14, 407,954.76 and 72,290.52 is: 108,435.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,970.14 : 407,954.76 = 72,290.52 : x
  2. Step 2: Convert to fraction form
    271,970.14/407,954.76 = 72,290.52/x
  3. Step 3: Cross multiply
    271,970.14x = 407,954.76 × 72,290.52
  4. Step 4: Simplify right side
    271,970.14x = 29,491,262,995.62
  5. Step 5: Solve for x
    x = 29,491,262,995.62/271,970.14
  6. Step 6: Final answer
    x = 108,435.67

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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.