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Finding the Fourth Proportional to 241,180, 332,828.40 and 133,766.48

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Solution

The fourth proportional to 241,180, 332,828.40 and 133,766.48 is: 184,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,180 : 332,828.40 = 133,766.48 : x
  2. Step 2: Convert to fraction form
    241,180/332,828.40 = 133,766.48/x
  3. Step 3: Cross multiply
    241,180x = 332,828.40 × 133,766.48
  4. Step 4: Simplify right side
    241,180x = 44,521,283,512.03
  5. Step 5: Solve for x
    x = 44,521,283,512.03/241,180
  6. Step 6: Final answer
    x = 184,597.74

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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.