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Finding the Fourth Proportional to 243,236.82, 335,368.94 and 200,065.44

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Solution

The fourth proportional to 243,236.82, 335,368.94 and 200,065.44 is: 275,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,236.82 : 335,368.94 = 200,065.44 : x
  2. Step 2: Convert to fraction form
    243,236.82/335,368.94 = 200,065.44/x
  3. Step 3: Cross multiply
    243,236.82x = 335,368.94 × 200,065.44
  4. Step 4: Simplify right side
    243,236.82x = 67,095,734,543.43
  5. Step 5: Solve for x
    x = 67,095,734,543.43/243,236.82
  6. Step 6: Final answer
    x = 275,845.30

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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.