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Finding the Fourth Proportional to 200,601, 300,733.74 and 82,357.20

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Solution

The fourth proportional to 200,601, 300,733.74 and 82,357.20 is: 123,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,601 : 300,733.74 = 82,357.20 : x
  2. Step 2: Convert to fraction form
    200,601/300,733.74 = 82,357.20/x
  3. Step 3: Cross multiply
    200,601x = 300,733.74 × 82,357.20
  4. Step 4: Simplify right side
    200,601x = 24,767,588,771.93
  5. Step 5: Solve for x
    x = 24,767,588,771.93/200,601
  6. Step 6: Final answer
    x = 123,466.93

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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.