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Finding the Fourth Proportional to 279,383.40, 419,075.10 and 110,943.90

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Solution

The fourth proportional to 279,383.40, 419,075.10 and 110,943.90 is: 166,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,383.40 : 419,075.10 = 110,943.90 : x
  2. Step 2: Convert to fraction form
    279,383.40/419,075.10 = 110,943.90/x
  3. Step 3: Cross multiply
    279,383.40x = 419,075.10 × 110,943.90
  4. Step 4: Simplify right side
    279,383.40x = 46,493,825,986.89
  5. Step 5: Solve for x
    x = 46,493,825,986.89/279,383.40
  6. Step 6: Final answer
    x = 166,415.85

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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.