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Finding the Fourth Proportional to 200,860.20, 300,852.90 and 178,698.60

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Solution

The fourth proportional to 200,860.20, 300,852.90 and 178,698.60 is: 267,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,860.20 : 300,852.90 = 178,698.60 : x
  2. Step 2: Convert to fraction form
    200,860.20/300,852.90 = 178,698.60/x
  3. Step 3: Cross multiply
    200,860.20x = 300,852.90 × 178,698.60
  4. Step 4: Simplify right side
    200,860.20x = 53,761,992,035.94
  5. Step 5: Solve for x
    x = 53,761,992,035.94/200,860.20
  6. Step 6: Final answer
    x = 267,658.76

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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.