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Finding the Fourth Proportional to 100,458.56, 138,644.64 and 55,749.44

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Solution

The fourth proportional to 100,458.56, 138,644.64 and 55,749.44 is: 76,940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458.56 : 138,644.64 = 55,749.44 : x
  2. Step 2: Convert to fraction form
    100,458.56/138,644.64 = 55,749.44/x
  3. Step 3: Cross multiply
    100,458.56x = 138,644.64 × 55,749.44
  4. Step 4: Simplify right side
    100,458.56x = 7,729,361,039.00
  5. Step 5: Solve for x
    x = 7,729,361,039.00/100,458.56
  6. Step 6: Final answer
    x = 76,940.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.