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Finding the Fourth Proportional to 201,194.85, 301,828.73 and 101,103.15

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Solution

The fourth proportional to 201,194.85, 301,828.73 and 101,103.15 is: 151,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,194.85 : 301,828.73 = 101,103.15 : x
  2. Step 2: Convert to fraction form
    201,194.85/301,828.73 = 101,103.15/x
  3. Step 3: Cross multiply
    201,194.85x = 301,828.73 × 101,103.15
  4. Step 4: Simplify right side
    201,194.85x = 30,515,834,857.98
  5. Step 5: Solve for x
    x = 30,515,834,857.98/201,194.85
  6. Step 6: Final answer
    x = 151,673.04

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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.