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Finding the Fourth Proportional to 222,629.44, 307,260.12 and 137,773.84

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Solution

The fourth proportional to 222,629.44, 307,260.12 and 137,773.84 is: 190,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,629.44 : 307,260.12 = 137,773.84 : x
  2. Step 2: Convert to fraction form
    222,629.44/307,260.12 = 137,773.84/x
  3. Step 3: Cross multiply
    222,629.44x = 307,260.12 × 137,773.84
  4. Step 4: Simplify right side
    222,629.44x = 42,332,406,611.26
  5. Step 5: Solve for x
    x = 42,332,406,611.26/222,629.44
  6. Step 6: Final answer
    x = 190,147.39

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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.