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Finding the Fourth Proportional to 256,696.36, 384,723.60 and 123,540.88

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Solution

The fourth proportional to 256,696.36, 384,723.60 and 123,540.88 is: 185,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,696.36 : 384,723.60 = 123,540.88 : x
  2. Step 2: Convert to fraction form
    256,696.36/384,723.60 = 123,540.88/x
  3. Step 3: Cross multiply
    256,696.36x = 384,723.60 × 123,540.88
  4. Step 4: Simplify right side
    256,696.36x = 47,529,092,100.77
  5. Step 5: Solve for x
    x = 47,529,092,100.77/256,696.36
  6. Step 6: Final answer
    x = 185,156.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.