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Finding the Fourth Proportional to 180,138.44, 248,462.08 and 126,435.44

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Solution

The fourth proportional to 180,138.44, 248,462.08 and 126,435.44 is: 174,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,138.44 : 248,462.08 = 126,435.44 : x
  2. Step 2: Convert to fraction form
    180,138.44/248,462.08 = 126,435.44/x
  3. Step 3: Cross multiply
    180,138.44x = 248,462.08 × 126,435.44
  4. Step 4: Simplify right side
    180,138.44x = 31,414,412,408.12
  5. Step 5: Solve for x
    x = 31,414,412,408.12/180,138.44
  6. Step 6: Final answer
    x = 174,390.39

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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.