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Finding the Fourth Proportional to 100,344.60, 138,481.76 and 55,632.60

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Solution

The fourth proportional to 100,344.60, 138,481.76 and 55,632.60 is: 76,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344.60 : 138,481.76 = 55,632.60 : x
  2. Step 2: Convert to fraction form
    100,344.60/138,481.76 = 55,632.60/x
  3. Step 3: Cross multiply
    100,344.60x = 138,481.76 × 55,632.60
  4. Step 4: Simplify right side
    100,344.60x = 7,704,100,361.38
  5. Step 5: Solve for x
    x = 7,704,100,361.38/100,344.60
  6. Step 6: Final answer
    x = 76,776.43

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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.