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Finding the Fourth Proportional to 190,450.20, 285,694.74 and 65,775

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Solution

The fourth proportional to 190,450.20, 285,694.74 and 65,775 is: 98,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,450.20 : 285,694.74 = 65,775 : x
  2. Step 2: Convert to fraction form
    190,450.20/285,694.74 = 65,775/x
  3. Step 3: Cross multiply
    190,450.20x = 285,694.74 × 65,775
  4. Step 4: Simplify right side
    190,450.20x = 18,791,571,523.50
  5. Step 5: Solve for x
    x = 18,791,571,523.50/190,450.20
  6. Step 6: Final answer
    x = 98,669.21

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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.