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Finding the Fourth Proportional to 146,197.94, 201,751.56 and 82,538.42

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Solution

The fourth proportional to 146,197.94, 201,751.56 and 82,538.42 is: 113,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,197.94 : 201,751.56 = 82,538.42 : x
  2. Step 2: Convert to fraction form
    146,197.94/201,751.56 = 82,538.42/x
  3. Step 3: Cross multiply
    146,197.94x = 201,751.56 × 82,538.42
  4. Step 4: Simplify right side
    146,197.94x = 16,652,253,986.18
  5. Step 5: Solve for x
    x = 16,652,253,986.18/146,197.94
  6. Step 6: Final answer
    x = 113,902.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.