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Finding the Fourth Proportional to 234,994.86, 324,297.96 and 133,020.45

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Solution

The fourth proportional to 234,994.86, 324,297.96 and 133,020.45 is: 183,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,994.86 : 324,297.96 = 133,020.45 : x
  2. Step 2: Convert to fraction form
    234,994.86/324,297.96 = 133,020.45/x
  3. Step 3: Cross multiply
    234,994.86x = 324,297.96 × 133,020.45
  4. Step 4: Simplify right side
    234,994.86x = 43,138,260,573.28
  5. Step 5: Solve for x
    x = 43,138,260,573.28/234,994.86
  6. Step 6: Final answer
    x = 183,571.08

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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.