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Finding the Fourth Proportional to 232,021, 320,343.42 and 178,210

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Solution

The fourth proportional to 232,021, 320,343.42 and 178,210 is: 246,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,021 : 320,343.42 = 178,210 : x
  2. Step 2: Convert to fraction form
    232,021/320,343.42 = 178,210/x
  3. Step 3: Cross multiply
    232,021x = 320,343.42 × 178,210
  4. Step 4: Simplify right side
    232,021x = 57,088,400,878.20
  5. Step 5: Solve for x
    x = 57,088,400,878.20/232,021
  6. Step 6: Final answer
    x = 246,048.42

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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.