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Finding the Fourth Proportional to 200,450.09, 276,625.53 and 114,407.34

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Solution

The fourth proportional to 200,450.09, 276,625.53 and 114,407.34 is: 157,884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,450.09 : 276,625.53 = 114,407.34 : x
  2. Step 2: Convert to fraction form
    200,450.09/276,625.53 = 114,407.34/x
  3. Step 3: Cross multiply
    200,450.09x = 276,625.53 × 114,407.34
  4. Step 4: Simplify right side
    200,450.09x = 31,647,990,026.04
  5. Step 5: Solve for x
    x = 31,647,990,026.04/200,450.09
  6. Step 6: Final answer
    x = 157,884.64

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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.