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Finding the Fourth Proportional to 232,909, 321,414.42 and 126,925

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Solution

The fourth proportional to 232,909, 321,414.42 and 126,925 is: 175,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,909 : 321,414.42 = 126,925 : x
  2. Step 2: Convert to fraction form
    232,909/321,414.42 = 126,925/x
  3. Step 3: Cross multiply
    232,909x = 321,414.42 × 126,925
  4. Step 4: Simplify right side
    232,909x = 40,795,525,258.50
  5. Step 5: Solve for x
    x = 40,795,525,258.50/232,909
  6. Step 6: Final answer
    x = 175,156.50

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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.