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Finding the Fourth Proportional to 365,938.20, 548,907.30 and 188,791.20

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Solution

The fourth proportional to 365,938.20, 548,907.30 and 188,791.20 is: 283,186.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,938.20 : 548,907.30 = 188,791.20 : x
  2. Step 2: Convert to fraction form
    365,938.20/548,907.30 = 188,791.20/x
  3. Step 3: Cross multiply
    365,938.20x = 548,907.30 × 188,791.20
  4. Step 4: Simplify right side
    365,938.20x = 103,628,867,855.76
  5. Step 5: Solve for x
    x = 103,628,867,855.76/365,938.20
  6. Step 6: Final answer
    x = 283,186.80

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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.