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Finding the Fourth Proportional to 201,163.50, 301,285.98 and 96,056.28

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Solution

The fourth proportional to 201,163.50, 301,285.98 and 96,056.28 is: 143,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,163.50 : 301,285.98 = 96,056.28 : x
  2. Step 2: Convert to fraction form
    201,163.50/301,285.98 = 96,056.28/x
  3. Step 3: Cross multiply
    201,163.50x = 301,285.98 × 96,056.28
  4. Step 4: Simplify right side
    201,163.50x = 28,940,410,454.95
  5. Step 5: Solve for x
    x = 28,940,410,454.95/201,163.50
  6. Step 6: Final answer
    x = 143,865.12

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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.