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Finding the Fourth Proportional to 242,418.67, 362,879.16 and 157,997.23

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Solution

The fourth proportional to 242,418.67, 362,879.16 and 157,997.23 is: 236,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,418.67 : 362,879.16 = 157,997.23 : x
  2. Step 2: Convert to fraction form
    242,418.67/362,879.16 = 157,997.23/x
  3. Step 3: Cross multiply
    242,418.67x = 362,879.16 × 157,997.23
  4. Step 4: Simplify right side
    242,418.67x = 57,333,902,104.73
  5. Step 5: Solve for x
    x = 57,333,902,104.73/242,418.67
  6. Step 6: Final answer
    x = 236,507.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.