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Finding the Fourth Proportional to 204,296.87, 281,920.65 and 113,645.72

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Solution

The fourth proportional to 204,296.87, 281,920.65 and 113,645.72 is: 156,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,296.87 : 281,920.65 = 113,645.72 : x
  2. Step 2: Convert to fraction form
    204,296.87/281,920.65 = 113,645.72/x
  3. Step 3: Cross multiply
    204,296.87x = 281,920.65 × 113,645.72
  4. Step 4: Simplify right side
    204,296.87x = 32,039,073,842.51
  5. Step 5: Solve for x
    x = 32,039,073,842.51/204,296.87
  6. Step 6: Final answer
    x = 156,826.07

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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.