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Finding the Fourth Proportional to 180,269.37, 270,383.40 and 47,162.48

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Solution

The fourth proportional to 180,269.37, 270,383.40 and 47,162.48 is: 70,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,269.37 : 270,383.40 = 47,162.48 : x
  2. Step 2: Convert to fraction form
    180,269.37/270,383.40 = 47,162.48/x
  3. Step 3: Cross multiply
    180,269.37x = 270,383.40 × 47,162.48
  4. Step 4: Simplify right side
    180,269.37x = 12,751,950,342.92
  5. Step 5: Solve for x
    x = 12,751,950,342.92/180,269.37
  6. Step 6: Final answer
    x = 70,738.31

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1.5x scale

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.