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Finding the Fourth Proportional to 200,177.61, 300,266.48 and 50,419.14

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Solution

The fourth proportional to 200,177.61, 300,266.48 and 50,419.14 is: 75,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,177.61 : 300,266.48 = 50,419.14 : x
  2. Step 2: Convert to fraction form
    200,177.61/300,266.48 = 50,419.14/x
  3. Step 3: Cross multiply
    200,177.61x = 300,266.48 × 50,419.14
  4. Step 4: Simplify right side
    200,177.61x = 15,139,177,692.43
  5. Step 5: Solve for x
    x = 15,139,177,692.43/200,177.61
  6. Step 6: Final answer
    x = 75,628.73

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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.