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Finding the Fourth Proportional to 188,992, 283,488 and 78,186.88

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Solution

The fourth proportional to 188,992, 283,488 and 78,186.88 is: 117,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,992 : 283,488 = 78,186.88 : x
  2. Step 2: Convert to fraction form
    188,992/283,488 = 78,186.88/x
  3. Step 3: Cross multiply
    188,992x = 283,488 × 78,186.88
  4. Step 4: Simplify right side
    188,992x = 22,165,042,237.44
  5. Step 5: Solve for x
    x = 22,165,042,237.44/188,992
  6. Step 6: Final answer
    x = 117,280.32

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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.