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Finding the Fourth Proportional to 221,100.76, 305,168.28 and 140,512.56

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Solution

The fourth proportional to 221,100.76, 305,168.28 and 140,512.56 is: 193,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,100.76 : 305,168.28 = 140,512.56 : x
  2. Step 2: Convert to fraction form
    221,100.76/305,168.28 = 140,512.56/x
  3. Step 3: Cross multiply
    221,100.76x = 305,168.28 × 140,512.56
  4. Step 4: Simplify right side
    221,100.76x = 42,879,976,253.60
  5. Step 5: Solve for x
    x = 42,879,976,253.60/221,100.76
  6. Step 6: Final answer
    x = 193,938.62

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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.