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Finding the Fourth Proportional to 222,791.48, 307,454.62 and 120,817.13

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Solution

The fourth proportional to 222,791.48, 307,454.62 and 120,817.13 is: 166,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,791.48 : 307,454.62 = 120,817.13 : x
  2. Step 2: Convert to fraction form
    222,791.48/307,454.62 = 120,817.13/x
  3. Step 3: Cross multiply
    222,791.48x = 307,454.62 × 120,817.13
  4. Step 4: Simplify right side
    222,791.48x = 37,145,784,793.64
  5. Step 5: Solve for x
    x = 37,145,784,793.64/222,791.48
  6. Step 6: Final answer
    x = 166,728.93

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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.