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Finding the Fourth Proportional to 231,790.49, 319,920.31 and 136,351.64

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Solution

The fourth proportional to 231,790.49, 319,920.31 and 136,351.64 is: 188,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,790.49 : 319,920.31 = 136,351.64 : x
  2. Step 2: Convert to fraction form
    231,790.49/319,920.31 = 136,351.64/x
  3. Step 3: Cross multiply
    231,790.49x = 319,920.31 × 136,351.64
  4. Step 4: Simplify right side
    231,790.49x = 43,621,657,725.01
  5. Step 5: Solve for x
    x = 43,621,657,725.01/231,790.49
  6. Step 6: Final answer
    x = 188,194.33

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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.