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Finding the Fourth Proportional to 279,924.80, 419,760.84 and 80,199.47

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Solution

The fourth proportional to 279,924.80, 419,760.84 and 80,199.47 is: 120,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,924.80 : 419,760.84 = 80,199.47 : x
  2. Step 2: Convert to fraction form
    279,924.80/419,760.84 = 80,199.47/x
  3. Step 3: Cross multiply
    279,924.80x = 419,760.84 × 80,199.47
  4. Step 4: Simplify right side
    279,924.80x = 33,664,596,894.75
  5. Step 5: Solve for x
    x = 33,664,596,894.75/279,924.80
  6. Step 6: Final answer
    x = 120,263.00

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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.