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Finding the Fourth Proportional to 222,998.38, 307,737.93 and 121,023.82

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Solution

The fourth proportional to 222,998.38, 307,737.93 and 121,023.82 is: 167,012.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,998.38 : 307,737.93 = 121,023.82 : x
  2. Step 2: Convert to fraction form
    222,998.38/307,737.93 = 121,023.82/x
  3. Step 3: Cross multiply
    222,998.38x = 307,737.93 × 121,023.82
  4. Step 4: Simplify right side
    222,998.38x = 37,243,619,664.87
  5. Step 5: Solve for x
    x = 37,243,619,664.87/222,998.38
  6. Step 6: Final answer
    x = 167,012.96

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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.