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Finding the Fourth Proportional to 204,422.20, 282,102.22 and 114,998.20

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Solution

The fourth proportional to 204,422.20, 282,102.22 and 114,998.20 is: 158,697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,422.20 : 282,102.22 = 114,998.20 : x
  2. Step 2: Convert to fraction form
    204,422.20/282,102.22 = 114,998.20/x
  3. Step 3: Cross multiply
    204,422.20x = 282,102.22 × 114,998.20
  4. Step 4: Simplify right side
    204,422.20x = 32,441,247,516.00
  5. Step 5: Solve for x
    x = 32,441,247,516.00/204,422.20
  6. Step 6: Final answer
    x = 158,697.28

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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.