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Finding the Fourth Proportional to 201,224.52, 301,897.14 and 81,219.73

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Solution

The fourth proportional to 201,224.52, 301,897.14 and 81,219.73 is: 121,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,224.52 : 301,897.14 = 81,219.73 : x
  2. Step 2: Convert to fraction form
    201,224.52/301,897.14 = 81,219.73/x
  3. Step 3: Cross multiply
    201,224.52x = 301,897.14 × 81,219.73
  4. Step 4: Simplify right side
    201,224.52x = 24,520,004,198.57
  5. Step 5: Solve for x
    x = 24,520,004,198.57/201,224.52
  6. Step 6: Final answer
    x = 121,853.96

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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.