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Finding the Fourth Proportional to 101,253.56, 151,896.56 and 51,313.41

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Solution

The fourth proportional to 101,253.56, 151,896.56 and 51,313.41 is: 76,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,253.56 : 151,896.56 = 51,313.41 : x
  2. Step 2: Convert to fraction form
    101,253.56/151,896.56 = 51,313.41/x
  3. Step 3: Cross multiply
    101,253.56x = 151,896.56 × 51,313.41
  4. Step 4: Simplify right side
    101,253.56x = 7,794,330,204.30
  5. Step 5: Solve for x
    x = 7,794,330,204.30/101,253.56
  6. Step 6: Final answer
    x = 76,978.34

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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.