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Finding the Fourth Proportional to 200,402.47, 300,575.91 and 50,633.54

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Solution

The fourth proportional to 200,402.47, 300,575.91 and 50,633.54 is: 75,943.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,402.47 : 300,575.91 = 50,633.54 : x
  2. Step 2: Convert to fraction form
    200,402.47/300,575.91 = 50,633.54/x
  3. Step 3: Cross multiply
    200,402.47x = 300,575.91 × 50,633.54
  4. Step 4: Simplify right side
    200,402.47x = 15,219,222,176.18
  5. Step 5: Solve for x
    x = 15,219,222,176.18/200,402.47
  6. Step 6: Final answer
    x = 75,943.29

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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.