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Finding the Fourth Proportional to 271,970.41, 408,029.45 and 82,423.12

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Solution

The fourth proportional to 271,970.41, 408,029.45 and 82,423.12 is: 123,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,970.41 : 408,029.45 = 82,423.12 : x
  2. Step 2: Convert to fraction form
    271,970.41/408,029.45 = 82,423.12/x
  3. Step 3: Cross multiply
    271,970.41x = 408,029.45 × 82,423.12
  4. Step 4: Simplify right side
    271,970.41x = 33,631,060,320.88
  5. Step 5: Solve for x
    x = 33,631,060,320.88/271,970.41
  6. Step 6: Final answer
    x = 123,657.06

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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.