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Finding the Fourth Proportional to 201,414.73, 301,914.73 and 107,895.37

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Solution

The fourth proportional to 201,414.73, 301,914.73 and 107,895.37 is: 161,731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,414.73 : 301,914.73 = 107,895.37 : x
  2. Step 2: Convert to fraction form
    201,414.73/301,914.73 = 107,895.37/x
  3. Step 3: Cross multiply
    201,414.73x = 301,914.73 × 107,895.37
  4. Step 4: Simplify right side
    201,414.73x = 32,575,201,501.80
  5. Step 5: Solve for x
    x = 32,575,201,501.80/201,414.73
  6. Step 6: Final answer
    x = 161,731.97

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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.