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Finding the Fourth Proportional to 257,694.56, 356,106.56 and 193,921.28

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Solution

The fourth proportional to 257,694.56, 356,106.56 and 193,921.28 is: 267,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,694.56 : 356,106.56 = 193,921.28 : x
  2. Step 2: Convert to fraction form
    257,694.56/356,106.56 = 193,921.28/x
  3. Step 3: Cross multiply
    257,694.56x = 356,106.56 × 193,921.28
  4. Step 4: Simplify right side
    257,694.56x = 69,056,639,931.60
  5. Step 5: Solve for x
    x = 69,056,639,931.60/257,694.56
  6. Step 6: Final answer
    x = 267,978.65

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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.