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Finding the Fourth Proportional to 209,219.20, 313,828.80 and 67,064.20

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Solution

The fourth proportional to 209,219.20, 313,828.80 and 67,064.20 is: 100,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,219.20 : 313,828.80 = 67,064.20 : x
  2. Step 2: Convert to fraction form
    209,219.20/313,828.80 = 67,064.20/x
  3. Step 3: Cross multiply
    209,219.20x = 313,828.80 × 67,064.20
  4. Step 4: Simplify right side
    209,219.20x = 21,046,677,408.96
  5. Step 5: Solve for x
    x = 21,046,677,408.96/209,219.20
  6. Step 6: Final answer
    x = 100,596.30

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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.