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Finding the Fourth Proportional to 279,971.80, 419,957.70 and 92,983.30

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Solution

The fourth proportional to 279,971.80, 419,957.70 and 92,983.30 is: 139,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,971.80 : 419,957.70 = 92,983.30 : x
  2. Step 2: Convert to fraction form
    279,971.80/419,957.70 = 92,983.30/x
  3. Step 3: Cross multiply
    279,971.80x = 419,957.70 × 92,983.30
  4. Step 4: Simplify right side
    279,971.80x = 39,049,052,806.41
  5. Step 5: Solve for x
    x = 39,049,052,806.41/279,971.80
  6. Step 6: Final answer
    x = 139,474.95

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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.