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Finding the Fourth Proportional to 204,847.32, 282,689.46 and 114,201.45

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Solution

The fourth proportional to 204,847.32, 282,689.46 and 114,201.45 is: 157,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,847.32 : 282,689.46 = 114,201.45 : x
  2. Step 2: Convert to fraction form
    204,847.32/282,689.46 = 114,201.45/x
  3. Step 3: Cross multiply
    204,847.32x = 282,689.46 × 114,201.45
  4. Step 4: Simplify right side
    204,847.32x = 32,283,546,231.72
  5. Step 5: Solve for x
    x = 32,283,546,231.72/204,847.32
  6. Step 6: Final answer
    x = 157,598.09

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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.