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Finding the Fourth Proportional to 233,832.84, 322,611.86 and 131,845.48

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Solution

The fourth proportional to 233,832.84, 322,611.86 and 131,845.48 is: 181,903.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832.84 : 322,611.86 = 131,845.48 : x
  2. Step 2: Convert to fraction form
    233,832.84/322,611.86 = 131,845.48/x
  3. Step 3: Cross multiply
    233,832.84x = 322,611.86 × 131,845.48
  4. Step 4: Simplify right side
    233,832.84x = 42,534,915,535.39
  5. Step 5: Solve for x
    x = 42,534,915,535.39/233,832.84
  6. Step 6: Final answer
    x = 181,903.09

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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.