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Finding the Fourth Proportional to 228,205.20, 342,199.80 and 133,462.80

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Solution

The fourth proportional to 228,205.20, 342,199.80 and 133,462.80 is: 200,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,205.20 : 342,199.80 = 133,462.80 : x
  2. Step 2: Convert to fraction form
    228,205.20/342,199.80 = 133,462.80/x
  3. Step 3: Cross multiply
    228,205.20x = 342,199.80 × 133,462.80
  4. Step 4: Simplify right side
    228,205.20x = 45,670,943,467.44
  5. Step 5: Solve for x
    x = 45,670,943,467.44/228,205.20
  6. Step 6: Final answer
    x = 200,131.04

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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.