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Finding the Fourth Proportional to 201,140.46, 301,251.42 and 96,033.24

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Solution

The fourth proportional to 201,140.46, 301,251.42 and 96,033.24 is: 143,830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,140.46 : 301,251.42 = 96,033.24 : x
  2. Step 2: Convert to fraction form
    201,140.46/301,251.42 = 96,033.24/x
  3. Step 3: Cross multiply
    201,140.46x = 301,251.42 × 96,033.24
  4. Step 4: Simplify right side
    201,140.46x = 28,930,149,917.20
  5. Step 5: Solve for x
    x = 28,930,149,917.20/201,140.46
  6. Step 6: Final answer
    x = 143,830.58

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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.