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Finding the Fourth Proportional to 200,735.20, 301,102.80 and 197,624.80

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Solution

The fourth proportional to 200,735.20, 301,102.80 and 197,624.80 is: 296,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,735.20 : 301,102.80 = 197,624.80 : x
  2. Step 2: Convert to fraction form
    200,735.20/301,102.80 = 197,624.80/x
  3. Step 3: Cross multiply
    200,735.20x = 301,102.80 × 197,624.80
  4. Step 4: Simplify right side
    200,735.20x = 59,505,380,629.44
  5. Step 5: Solve for x
    x = 59,505,380,629.44/200,735.20
  6. Step 6: Final answer
    x = 296,437.20

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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.