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Finding the Fourth Proportional to 135,096.32, 186,456 and 78,540.48

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Solution

The fourth proportional to 135,096.32, 186,456 and 78,540.48 is: 108,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,096.32 : 186,456 = 78,540.48 : x
  2. Step 2: Convert to fraction form
    135,096.32/186,456 = 78,540.48/x
  3. Step 3: Cross multiply
    135,096.32x = 186,456 × 78,540.48
  4. Step 4: Simplify right side
    135,096.32x = 14,644,343,738.88
  5. Step 5: Solve for x
    x = 14,644,343,738.88/135,096.32
  6. Step 6: Final answer
    x = 108,399.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.