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Finding the Fourth Proportional to 200,882.64, 301,321.80 and 49,081.08

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Solution

The fourth proportional to 200,882.64, 301,321.80 and 49,081.08 is: 73,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,882.64 : 301,321.80 = 49,081.08 : x
  2. Step 2: Convert to fraction form
    200,882.64/301,321.80 = 49,081.08/x
  3. Step 3: Cross multiply
    200,882.64x = 301,321.80 × 49,081.08
  4. Step 4: Simplify right side
    200,882.64x = 14,789,199,371.54
  5. Step 5: Solve for x
    x = 14,789,199,371.54/200,882.64
  6. Step 6: Final answer
    x = 73,621.09

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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.