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Finding the Fourth Proportional to 201,938.38, 302,883.98 and 52,166.92

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Solution

The fourth proportional to 201,938.38, 302,883.98 and 52,166.92 is: 78,244.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938.38 : 302,883.98 = 52,166.92 : x
  2. Step 2: Convert to fraction form
    201,938.38/302,883.98 = 52,166.92/x
  3. Step 3: Cross multiply
    201,938.38x = 302,883.98 × 52,166.92
  4. Step 4: Simplify right side
    201,938.38x = 15,800,524,353.94
  5. Step 5: Solve for x
    x = 15,800,524,353.94/201,938.38
  6. Step 6: Final answer
    x = 78,244.29

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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.