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Finding the Fourth Proportional to 108,096.33, 149,097.92 and 74,107.86

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Solution

The fourth proportional to 108,096.33, 149,097.92 and 74,107.86 is: 102,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,096.33 : 149,097.92 = 74,107.86 : x
  2. Step 2: Convert to fraction form
    108,096.33/149,097.92 = 74,107.86/x
  3. Step 3: Cross multiply
    108,096.33x = 149,097.92 × 74,107.86
  4. Step 4: Simplify right side
    108,096.33x = 11,049,327,411.11
  5. Step 5: Solve for x
    x = 11,049,327,411.11/108,096.33
  6. Step 6: Final answer
    x = 102,217.41

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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.