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Finding the Fourth Proportional to 108,094.80, 161,996.40 and 76,893.60

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Solution

The fourth proportional to 108,094.80, 161,996.40 and 76,893.60 is: 115,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,094.80 : 161,996.40 = 76,893.60 : x
  2. Step 2: Convert to fraction form
    108,094.80/161,996.40 = 76,893.60/x
  3. Step 3: Cross multiply
    108,094.80x = 161,996.40 × 76,893.60
  4. Step 4: Simplify right side
    108,094.80x = 12,456,486,383.04
  5. Step 5: Solve for x
    x = 12,456,486,383.04/108,094.80
  6. Step 6: Final answer
    x = 115,236.68

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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.