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Finding the Fourth Proportional to 201,269.76, 301,941.12 and 82,876.56

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Solution

The fourth proportional to 201,269.76, 301,941.12 and 82,876.56 is: 124,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,269.76 : 301,941.12 = 82,876.56 : x
  2. Step 2: Convert to fraction form
    201,269.76/301,941.12 = 82,876.56/x
  3. Step 3: Cross multiply
    201,269.76x = 301,941.12 × 82,876.56
  4. Step 4: Simplify right side
    201,269.76x = 25,023,841,348.15
  5. Step 5: Solve for x
    x = 25,023,841,348.15/201,269.76
  6. Step 6: Final answer
    x = 124,329.86

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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.