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Finding the Fourth Proportional to 201,676.30, 302,077.05 and 166,684.30

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Solution

The fourth proportional to 201,676.30, 302,077.05 and 166,684.30 is: 249,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,676.30 : 302,077.05 = 166,684.30 : x
  2. Step 2: Convert to fraction form
    201,676.30/302,077.05 = 166,684.30/x
  3. Step 3: Cross multiply
    201,676.30x = 302,077.05 × 166,684.30
  4. Step 4: Simplify right side
    201,676.30x = 50,351,501,625.32
  5. Step 5: Solve for x
    x = 50,351,501,625.32/201,676.30
  6. Step 6: Final answer
    x = 249,664.94

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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.