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Finding the Fourth Proportional to 101,146.26, 151,749.50 and 44,978.64

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Solution

The fourth proportional to 101,146.26, 151,749.50 and 44,978.64 is: 67,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,146.26 : 151,749.50 = 44,978.64 : x
  2. Step 2: Convert to fraction form
    101,146.26/151,749.50 = 44,978.64/x
  3. Step 3: Cross multiply
    101,146.26x = 151,749.50 × 44,978.64
  4. Step 4: Simplify right side
    101,146.26x = 6,825,486,130.68
  5. Step 5: Solve for x
    x = 6,825,486,130.68/101,146.26
  6. Step 6: Final answer
    x = 67,481.35

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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.