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Finding the Fourth Proportional to 232,026, 320,350.32 and 178,215

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Solution

The fourth proportional to 232,026, 320,350.32 and 178,215 is: 246,055.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,026 : 320,350.32 = 178,215 : x
  2. Step 2: Convert to fraction form
    232,026/320,350.32 = 178,215/x
  3. Step 3: Cross multiply
    232,026x = 320,350.32 × 178,215
  4. Step 4: Simplify right side
    232,026x = 57,091,232,278.80
  5. Step 5: Solve for x
    x = 57,091,232,278.80/232,026
  6. Step 6: Final answer
    x = 246,055.32

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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.