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Finding the Fourth Proportional to 301,283.97, 451,907.37 and 123,786.42

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Solution

The fourth proportional to 301,283.97, 451,907.37 and 123,786.42 is: 185,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,283.97 : 451,907.37 = 123,786.42 : x
  2. Step 2: Convert to fraction form
    301,283.97/451,907.37 = 123,786.42/x
  3. Step 3: Cross multiply
    301,283.97x = 451,907.37 × 123,786.42
  4. Step 4: Simplify right side
    301,283.97x = 55,939,995,503.92
  5. Step 5: Solve for x
    x = 55,939,995,503.92/301,283.97
  6. Step 6: Final answer
    x = 185,671.99

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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.