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Finding the Fourth Proportional to 201,384.73, 301,888.43 and 68,171.72

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Solution

The fourth proportional to 201,384.73, 301,888.43 and 68,171.72 is: 102,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,384.73 : 301,888.43 = 68,171.72 : x
  2. Step 2: Convert to fraction form
    201,384.73/301,888.43 = 68,171.72/x
  3. Step 3: Cross multiply
    201,384.73x = 301,888.43 × 68,171.72
  4. Step 4: Simplify right side
    201,384.73x = 20,580,253,180.34
  5. Step 5: Solve for x
    x = 20,580,253,180.34/201,384.73
  6. Step 6: Final answer
    x = 102,193.71

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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.