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Finding the Fourth Proportional to 201,674.20, 302,576.10 and 135,189.40

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Solution

The fourth proportional to 201,674.20, 302,576.10 and 135,189.40 is: 202,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,674.20 : 302,576.10 = 135,189.40 : x
  2. Step 2: Convert to fraction form
    201,674.20/302,576.10 = 135,189.40/x
  3. Step 3: Cross multiply
    201,674.20x = 302,576.10 × 135,189.40
  4. Step 4: Simplify right side
    201,674.20x = 40,905,081,413.34
  5. Step 5: Solve for x
    x = 40,905,081,413.34/201,674.20
  6. Step 6: Final answer
    x = 202,827.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.