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Finding the Fourth Proportional to 201,280.24, 301,902.72 and 68,157.46

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Solution

The fourth proportional to 201,280.24, 301,902.72 and 68,157.46 is: 102,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,280.24 : 301,902.72 = 68,157.46 : x
  2. Step 2: Convert to fraction form
    201,280.24/301,902.72 = 68,157.46/x
  3. Step 3: Cross multiply
    201,280.24x = 301,902.72 × 68,157.46
  4. Step 4: Simplify right side
    201,280.24x = 20,576,922,562.29
  5. Step 5: Solve for x
    x = 20,576,922,562.29/201,280.24
  6. Step 6: Final answer
    x = 102,230.22

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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.