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Finding the Fourth Proportional to 164,075.97, 246,119.22 and 51,757.23

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Solution

The fourth proportional to 164,075.97, 246,119.22 and 51,757.23 is: 77,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,075.97 : 246,119.22 = 51,757.23 : x
  2. Step 2: Convert to fraction form
    164,075.97/246,119.22 = 51,757.23/x
  3. Step 3: Cross multiply
    164,075.97x = 246,119.22 × 51,757.23
  4. Step 4: Simplify right side
    164,075.97x = 12,738,449,076.96
  5. Step 5: Solve for x
    x = 12,738,449,076.96/164,075.97
  6. Step 6: Final answer
    x = 77,637.51

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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.