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Finding the Fourth Proportional to 200,378.87, 300,543.50 and 74,016.32

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Solution

The fourth proportional to 200,378.87, 300,543.50 and 74,016.32 is: 111,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,378.87 : 300,543.50 = 74,016.32 : x
  2. Step 2: Convert to fraction form
    200,378.87/300,543.50 = 74,016.32/x
  3. Step 3: Cross multiply
    200,378.87x = 300,543.50 × 74,016.32
  4. Step 4: Simplify right side
    200,378.87x = 22,245,122,552.24
  5. Step 5: Solve for x
    x = 22,245,122,552.24/200,378.87
  6. Step 6: Final answer
    x = 111,015.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.