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Finding the Fourth Proportional to 204,570.64, 282,299.60 and 113,930.44

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Solution

The fourth proportional to 204,570.64, 282,299.60 and 113,930.44 is: 157,219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,570.64 : 282,299.60 = 113,930.44 : x
  2. Step 2: Convert to fraction form
    204,570.64/282,299.60 = 113,930.44/x
  3. Step 3: Cross multiply
    204,570.64x = 282,299.60 × 113,930.44
  4. Step 4: Simplify right side
    204,570.64x = 32,162,517,639.82
  5. Step 5: Solve for x
    x = 32,162,517,639.82/204,570.64
  6. Step 6: Final answer
    x = 157,219.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.