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Finding the Fourth Proportional to 232,752.54, 321,198.89 and 132,150.54

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Solution

The fourth proportional to 232,752.54, 321,198.89 and 132,150.54 is: 182,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,752.54 : 321,198.89 = 132,150.54 : x
  2. Step 2: Convert to fraction form
    232,752.54/321,198.89 = 132,150.54/x
  3. Step 3: Cross multiply
    232,752.54x = 321,198.89 × 132,150.54
  4. Step 4: Simplify right side
    232,752.54x = 42,446,606,100.15
  5. Step 5: Solve for x
    x = 42,446,606,100.15/232,752.54
  6. Step 6: Final answer
    x = 182,367.96

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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.