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Finding the Fourth Proportional to 248,852.84, 343,446.57 and 157,105.44

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Solution

The fourth proportional to 248,852.84, 343,446.57 and 157,105.44 is: 216,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,852.84 : 343,446.57 = 157,105.44 : x
  2. Step 2: Convert to fraction form
    248,852.84/343,446.57 = 157,105.44/x
  3. Step 3: Cross multiply
    248,852.84x = 343,446.57 × 157,105.44
  4. Step 4: Simplify right side
    248,852.84x = 53,957,324,496.34
  5. Step 5: Solve for x
    x = 53,957,324,496.34/248,852.84
  6. Step 6: Final answer
    x = 216,824.23

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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.