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Finding the Fourth Proportional to 273,067, 409,669.64 and 76,075

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Solution

The fourth proportional to 273,067, 409,669.64 and 76,075 is: 114,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,067 : 409,669.64 = 76,075 : x
  2. Step 2: Convert to fraction form
    273,067/409,669.64 = 76,075/x
  3. Step 3: Cross multiply
    273,067x = 409,669.64 × 76,075
  4. Step 4: Simplify right side
    273,067x = 31,165,617,863
  5. Step 5: Solve for x
    x = 31,165,617,863/273,067
  6. Step 6: Final answer
    x = 114,131.76

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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.