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Finding the Fourth Proportional to 120,419.38, 180,576.69 and 64,246.96

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Solution

The fourth proportional to 120,419.38, 180,576.69 and 64,246.96 is: 96,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,419.38 : 180,576.69 = 64,246.96 : x
  2. Step 2: Convert to fraction form
    120,419.38/180,576.69 = 64,246.96/x
  3. Step 3: Cross multiply
    120,419.38x = 180,576.69 × 64,246.96
  4. Step 4: Simplify right side
    120,419.38x = 11,601,503,379.36
  5. Step 5: Solve for x
    x = 11,601,503,379.36/120,419.38
  6. Step 6: Final answer
    x = 96,342.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.