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Finding the Fourth Proportional to 222,567, 307,142.82 and 120,592.44

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Solution

The fourth proportional to 222,567, 307,142.82 and 120,592.44 is: 166,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,567 : 307,142.82 = 120,592.44 : x
  2. Step 2: Convert to fraction form
    222,567/307,142.82 = 120,592.44/x
  3. Step 3: Cross multiply
    222,567x = 307,142.82 × 120,592.44
  4. Step 4: Simplify right side
    222,567x = 37,039,102,092.28
  5. Step 5: Solve for x
    x = 37,039,102,092.28/222,567
  6. Step 6: Final answer
    x = 166,417.76

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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.