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Finding the Fourth Proportional to 222,734.52, 306,972 and 162,209.34

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Solution

The fourth proportional to 222,734.52, 306,972 and 162,209.34 is: 223,556.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,734.52 : 306,972 = 162,209.34 : x
  2. Step 2: Convert to fraction form
    222,734.52/306,972 = 162,209.34/x
  3. Step 3: Cross multiply
    222,734.52x = 306,972 × 162,209.34
  4. Step 4: Simplify right side
    222,734.52x = 49,793,725,518.48
  5. Step 5: Solve for x
    x = 49,793,725,518.48/222,734.52
  6. Step 6: Final answer
    x = 223,556.39

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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.