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Finding the Fourth Proportional to 132,008.43, 182,203.16 and 78,324.60

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Solution

The fourth proportional to 132,008.43, 182,203.16 and 78,324.60 is: 108,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,008.43 : 182,203.16 = 78,324.60 : x
  2. Step 2: Convert to fraction form
    132,008.43/182,203.16 = 78,324.60/x
  3. Step 3: Cross multiply
    132,008.43x = 182,203.16 × 78,324.60
  4. Step 4: Simplify right side
    132,008.43x = 14,270,989,917.37
  5. Step 5: Solve for x
    x = 14,270,989,917.37/132,008.43
  6. Step 6: Final answer
    x = 108,106.65

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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.