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Finding the Fourth Proportional to 188,234, 259,763.12 and 111,768.36

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Solution

The fourth proportional to 188,234, 259,763.12 and 111,768.36 is: 154,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,234 : 259,763.12 = 111,768.36 : x
  2. Step 2: Convert to fraction form
    188,234/259,763.12 = 111,768.36/x
  3. Step 3: Cross multiply
    188,234x = 259,763.12 × 111,768.36
  4. Step 4: Simplify right side
    188,234x = 29,033,297,910.88
  5. Step 5: Solve for x
    x = 29,033,297,910.88/188,234
  6. Step 6: Final answer
    x = 154,240.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.