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Finding the Fourth Proportional to 101,147.76, 151,814.85 and 51,263.25

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Solution

The fourth proportional to 101,147.76, 151,814.85 and 51,263.25 is: 76,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,147.76 : 151,814.85 = 51,263.25 : x
  2. Step 2: Convert to fraction form
    101,147.76/151,814.85 = 51,263.25/x
  3. Step 3: Cross multiply
    101,147.76x = 151,814.85 × 51,263.25
  4. Step 4: Simplify right side
    101,147.76x = 7,782,522,609.26
  5. Step 5: Solve for x
    x = 7,782,522,609.26/101,147.76
  6. Step 6: Final answer
    x = 76,942.12

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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.