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Finding the Fourth Proportional to 101,131.70, 151,661.10 and 51,195.20

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Solution

The fourth proportional to 101,131.70, 151,661.10 and 51,195.20 is: 76,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,131.70 : 151,661.10 = 51,195.20 : x
  2. Step 2: Convert to fraction form
    101,131.70/151,661.10 = 51,195.20/x
  3. Step 3: Cross multiply
    101,131.70x = 151,661.10 × 51,195.20
  4. Step 4: Simplify right side
    101,131.70x = 7,764,320,346.72
  5. Step 5: Solve for x
    x = 7,764,320,346.72/101,131.70
  6. Step 6: Final answer
    x = 76,774.35

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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.