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Finding the Fourth Proportional to 378,145.26, 567,216.27 and 111,907.44

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Solution

The fourth proportional to 378,145.26, 567,216.27 and 111,907.44 is: 167,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,145.26 : 567,216.27 = 111,907.44 : x
  2. Step 2: Convert to fraction form
    378,145.26/567,216.27 = 111,907.44/x
  3. Step 3: Cross multiply
    378,145.26x = 567,216.27 × 111,907.44
  4. Step 4: Simplify right side
    378,145.26x = 63,475,720,702.05
  5. Step 5: Solve for x
    x = 63,475,720,702.05/378,145.26
  6. Step 6: Final answer
    x = 167,860.68

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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.