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Finding the Fourth Proportional to 273,901.80, 410,852.70 and 199,252.20

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Solution

The fourth proportional to 273,901.80, 410,852.70 and 199,252.20 is: 298,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,901.80 : 410,852.70 = 199,252.20 : x
  2. Step 2: Convert to fraction form
    273,901.80/410,852.70 = 199,252.20/x
  3. Step 3: Cross multiply
    273,901.80x = 410,852.70 × 199,252.20
  4. Step 4: Simplify right side
    273,901.80x = 81,863,304,350.94
  5. Step 5: Solve for x
    x = 81,863,304,350.94/273,901.80
  6. Step 6: Final answer
    x = 298,878.30

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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.