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Finding the Fourth Proportional to 201,270.87, 301,906.06 and 51,511.24

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Solution

The fourth proportional to 201,270.87, 301,906.06 and 51,511.24 is: 77,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,270.87 : 301,906.06 = 51,511.24 : x
  2. Step 2: Convert to fraction form
    201,270.87/301,906.06 = 51,511.24/x
  3. Step 3: Cross multiply
    201,270.87x = 301,906.06 × 51,511.24
  4. Step 4: Simplify right side
    201,270.87x = 15,551,554,501.79
  5. Step 5: Solve for x
    x = 15,551,554,501.79/201,270.87
  6. Step 6: Final answer
    x = 77,266.79

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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.