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Finding the Fourth Proportional to 301,467.78, 415,940.31 and 194,100.03

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Solution

The fourth proportional to 301,467.78, 415,940.31 and 194,100.03 is: 267,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,467.78 : 415,940.31 = 194,100.03 : x
  2. Step 2: Convert to fraction form
    301,467.78/415,940.31 = 194,100.03/x
  3. Step 3: Cross multiply
    301,467.78x = 415,940.31 × 194,100.03
  4. Step 4: Simplify right side
    301,467.78x = 80,734,026,649.21
  5. Step 5: Solve for x
    x = 80,734,026,649.21/301,467.78
  6. Step 6: Final answer
    x = 267,803.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.