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Finding the Fourth Proportional to 222,973.97, 307,702.46 and 120,996.86

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Solution

The fourth proportional to 222,973.97, 307,702.46 and 120,996.86 is: 166,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,973.97 : 307,702.46 = 120,996.86 : x
  2. Step 2: Convert to fraction form
    222,973.97/307,702.46 = 120,996.86/x
  3. Step 3: Cross multiply
    222,973.97x = 307,702.46 × 120,996.86
  4. Step 4: Simplify right side
    222,973.97x = 37,231,030,238.26
  5. Step 5: Solve for x
    x = 37,231,030,238.26/222,973.97
  6. Step 6: Final answer
    x = 166,974.79

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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.