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Finding the Fourth Proportional to 202,414.14, 301,984.61 and 182,237.24

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Solution

The fourth proportional to 202,414.14, 301,984.61 and 182,237.24 is: 271,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,414.14 : 301,984.61 = 182,237.24 : x
  2. Step 2: Convert to fraction form
    202,414.14/301,984.61 = 182,237.24/x
  3. Step 3: Cross multiply
    202,414.14x = 301,984.61 × 182,237.24
  4. Step 4: Simplify right side
    202,414.14x = 55,032,841,692.65
  5. Step 5: Solve for x
    x = 55,032,841,692.65/202,414.14
  6. Step 6: Final answer
    x = 271,882.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.