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Finding the Fourth Proportional to 222,998.19, 307,842.21 and 149,535.66

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Solution

The fourth proportional to 222,998.19, 307,842.21 and 149,535.66 is: 206,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,998.19 : 307,842.21 = 149,535.66 : x
  2. Step 2: Convert to fraction form
    222,998.19/307,842.21 = 149,535.66/x
  3. Step 3: Cross multiply
    222,998.19x = 307,842.21 × 149,535.66
  4. Step 4: Simplify right side
    222,998.19x = 46,033,388,048.21
  5. Step 5: Solve for x
    x = 46,033,388,048.21/222,998.19
  6. Step 6: Final answer
    x = 206,429.42

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