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Finding the Fourth Proportional to 200,718.17, 301,077.39 and 50,969.69

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Solution

The fourth proportional to 200,718.17, 301,077.39 and 50,969.69 is: 76,454.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718.17 : 301,077.39 = 50,969.69 : x
  2. Step 2: Convert to fraction form
    200,718.17/301,077.39 = 50,969.69/x
  3. Step 3: Cross multiply
    200,718.17x = 301,077.39 × 50,969.69
  4. Step 4: Simplify right side
    200,718.17x = 15,345,821,234.31
  5. Step 5: Solve for x
    x = 15,345,821,234.31/200,718.17
  6. Step 6: Final answer
    x = 76,454.57

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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.