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Finding the Fourth Proportional to 233,992.26, 322,829.19 and 190,896.66

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Solution

The fourth proportional to 233,992.26, 322,829.19 and 190,896.66 is: 263,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,992.26 : 322,829.19 = 190,896.66 : x
  2. Step 2: Convert to fraction form
    233,992.26/322,829.19 = 190,896.66/x
  3. Step 3: Cross multiply
    233,992.26x = 322,829.19 × 190,896.66
  4. Step 4: Simplify right side
    233,992.26x = 61,627,014,121.51
  5. Step 5: Solve for x
    x = 61,627,014,121.51/233,992.26
  6. Step 6: Final answer
    x = 263,372.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.