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Finding the Fourth Proportional to 74,194.88, 102,388.76 and 40,204.28

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Solution

The fourth proportional to 74,194.88, 102,388.76 and 40,204.28 is: 55,481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,194.88 : 102,388.76 = 40,204.28 : x
  2. Step 2: Convert to fraction form
    74,194.88/102,388.76 = 40,204.28/x
  3. Step 3: Cross multiply
    74,194.88x = 102,388.76 × 40,204.28
  4. Step 4: Simplify right side
    74,194.88x = 4,116,466,375.89
  5. Step 5: Solve for x
    x = 4,116,466,375.89/74,194.88
  6. Step 6: Final answer
    x = 55,481.81

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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.