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Finding the Fourth Proportional to 201,217.20, 301,825.80 and 198,106.80

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Solution

The fourth proportional to 201,217.20, 301,825.80 and 198,106.80 is: 297,160.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217.20 : 301,825.80 = 198,106.80 : x
  2. Step 2: Convert to fraction form
    201,217.20/301,825.80 = 198,106.80/x
  3. Step 3: Cross multiply
    201,217.20x = 301,825.80 × 198,106.80
  4. Step 4: Simplify right side
    201,217.20x = 59,793,743,395.44
  5. Step 5: Solve for x
    x = 59,793,743,395.44/201,217.20
  6. Step 6: Final answer
    x = 297,160.20

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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.