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Finding the Fourth Proportional to 206,991.84, 310,704.90 and 183,450

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Solution

The fourth proportional to 206,991.84, 310,704.90 and 183,450 is: 275,367.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,991.84 : 310,704.90 = 183,450 : x
  2. Step 2: Convert to fraction form
    206,991.84/310,704.90 = 183,450/x
  3. Step 3: Cross multiply
    206,991.84x = 310,704.90 × 183,450
  4. Step 4: Simplify right side
    206,991.84x = 56,998,813,905.00
  5. Step 5: Solve for x
    x = 56,998,813,905.00/206,991.84
  6. Step 6: Final answer
    x = 275,367.44

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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.