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Finding the Fourth Proportional to 225,877.56, 338,729.94 and 76,077.54

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Solution

The fourth proportional to 225,877.56, 338,729.94 and 76,077.54 is: 114,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,877.56 : 338,729.94 = 76,077.54 : x
  2. Step 2: Convert to fraction form
    225,877.56/338,729.94 = 76,077.54/x
  3. Step 3: Cross multiply
    225,877.56x = 338,729.94 × 76,077.54
  4. Step 4: Simplify right side
    225,877.56x = 25,769,740,559.55
  5. Step 5: Solve for x
    x = 25,769,740,559.55/225,877.56
  6. Step 6: Final answer
    x = 114,087.21

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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.