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Finding the Fourth Proportional to 232,754.26, 321,201.10 and 132,152.26

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Solution

The fourth proportional to 232,754.26, 321,201.10 and 132,152.26 is: 182,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,754.26 : 321,201.10 = 132,152.26 : x
  2. Step 2: Convert to fraction form
    232,754.26/321,201.10 = 132,152.26/x
  3. Step 3: Cross multiply
    232,754.26x = 321,201.10 × 132,152.26
  4. Step 4: Simplify right side
    232,754.26x = 42,447,451,279.49
  5. Step 5: Solve for x
    x = 42,447,451,279.49/232,754.26
  6. Step 6: Final answer
    x = 182,370.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.