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Finding the Fourth Proportional to 135,662.88, 203,523.44 and 45,714.48

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Solution

The fourth proportional to 135,662.88, 203,523.44 and 45,714.48 is: 68,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,662.88 : 203,523.44 = 45,714.48 : x
  2. Step 2: Convert to fraction form
    135,662.88/203,523.44 = 45,714.48/x
  3. Step 3: Cross multiply
    135,662.88x = 203,523.44 × 45,714.48
  4. Step 4: Simplify right side
    135,662.88x = 9,303,968,227.41
  5. Step 5: Solve for x
    x = 9,303,968,227.41/135,662.88
  6. Step 6: Final answer
    x = 68,581.53

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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.