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Finding the Fourth Proportional to 209,224.20, 313,836.30 and 67,069.20

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Solution

The fourth proportional to 209,224.20, 313,836.30 and 67,069.20 is: 100,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,224.20 : 313,836.30 = 67,069.20 : x
  2. Step 2: Convert to fraction form
    209,224.20/313,836.30 = 67,069.20/x
  3. Step 3: Cross multiply
    209,224.20x = 313,836.30 × 67,069.20
  4. Step 4: Simplify right side
    209,224.20x = 21,048,749,571.96
  5. Step 5: Solve for x
    x = 21,048,749,571.96/209,224.20
  6. Step 6: Final answer
    x = 100,603.80

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1.5x scale

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.