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Finding the Fourth Proportional to 130,496.88, 180,020.36 and 82,674.48

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Solution

The fourth proportional to 130,496.88, 180,020.36 and 82,674.48 is: 114,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,496.88 : 180,020.36 = 82,674.48 : x
  2. Step 2: Convert to fraction form
    130,496.88/180,020.36 = 82,674.48/x
  3. Step 3: Cross multiply
    130,496.88x = 180,020.36 × 82,674.48
  4. Step 4: Simplify right side
    130,496.88x = 14,883,089,652.41
  5. Step 5: Solve for x
    x = 14,883,089,652.41/130,496.88
  6. Step 6: Final answer
    x = 114,049.39

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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.