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Finding the Fourth Proportional to 232,022, 320,344.80 and 178,211

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Solution

The fourth proportional to 232,022, 320,344.80 and 178,211 is: 246,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,022 : 320,344.80 = 178,211 : x
  2. Step 2: Convert to fraction form
    232,022/320,344.80 = 178,211/x
  3. Step 3: Cross multiply
    232,022x = 320,344.80 × 178,211
  4. Step 4: Simplify right side
    232,022x = 57,088,967,152.80
  5. Step 5: Solve for x
    x = 57,088,967,152.80/232,022
  6. Step 6: Final answer
    x = 246,049.80

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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.