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Finding the Fourth Proportional to 205,194.56, 283,182.75 and 114,568.34

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Solution

The fourth proportional to 205,194.56, 283,182.75 and 114,568.34 is: 158,112.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,194.56 : 283,182.75 = 114,568.34 : x
  2. Step 2: Convert to fraction form
    205,194.56/283,182.75 = 114,568.34/x
  3. Step 3: Cross multiply
    205,194.56x = 283,182.75 × 114,568.34
  4. Step 4: Simplify right side
    205,194.56x = 32,443,776,168.22
  5. Step 5: Solve for x
    x = 32,443,776,168.22/205,194.56
  6. Step 6: Final answer
    x = 158,112.27

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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.