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Finding the Fourth Proportional to 234,680.64, 323,912.16 and 196,889.28

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Solution

The fourth proportional to 234,680.64, 323,912.16 and 196,889.28 is: 271,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,680.64 : 323,912.16 = 196,889.28 : x
  2. Step 2: Convert to fraction form
    234,680.64/323,912.16 = 196,889.28/x
  3. Step 3: Cross multiply
    234,680.64x = 323,912.16 × 196,889.28
  4. Step 4: Simplify right side
    234,680.64x = 63,774,831,965.64
  5. Step 5: Solve for x
    x = 63,774,831,965.64/234,680.64
  6. Step 6: Final answer
    x = 271,751.57

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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.