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Finding the Fourth Proportional to 238,204.62, 328,738.32 and 157,493.37

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Solution

The fourth proportional to 238,204.62, 328,738.32 and 157,493.37 is: 217,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,204.62 : 328,738.32 = 157,493.37 : x
  2. Step 2: Convert to fraction form
    238,204.62/328,738.32 = 157,493.37/x
  3. Step 3: Cross multiply
    238,204.62x = 328,738.32 × 157,493.37
  4. Step 4: Simplify right side
    238,204.62x = 51,774,105,864.94
  5. Step 5: Solve for x
    x = 51,774,105,864.94/238,204.62
  6. Step 6: Final answer
    x = 217,351.39

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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.