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Finding the Fourth Proportional to 271,940.51, 407,849.23 and 103,400.70

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Solution

The fourth proportional to 271,940.51, 407,849.23 and 103,400.70 is: 155,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,940.51 : 407,849.23 = 103,400.70 : x
  2. Step 2: Convert to fraction form
    271,940.51/407,849.23 = 103,400.70/x
  3. Step 3: Cross multiply
    271,940.51x = 407,849.23 × 103,400.70
  4. Step 4: Simplify right side
    271,940.51x = 42,171,895,876.46
  5. Step 5: Solve for x
    x = 42,171,895,876.46/271,940.51
  6. Step 6: Final answer
    x = 155,077.65

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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.