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Finding the Fourth Proportional to 271,453.41, 407,180.12 and 147,037.41

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Solution

The fourth proportional to 271,453.41, 407,180.12 and 147,037.41 is: 220,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,453.41 : 407,180.12 = 147,037.41 : x
  2. Step 2: Convert to fraction form
    271,453.41/407,180.12 = 147,037.41/x
  3. Step 3: Cross multiply
    271,453.41x = 407,180.12 × 147,037.41
  4. Step 4: Simplify right side
    271,453.41x = 59,870,710,248.29
  5. Step 5: Solve for x
    x = 59,870,710,248.29/271,453.41
  6. Step 6: Final answer
    x = 220,556.12

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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.