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Finding the Fourth Proportional to 120,144.33, 165,795.10 and 69,149.99

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Solution

The fourth proportional to 120,144.33, 165,795.10 and 69,149.99 is: 95,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,144.33 : 165,795.10 = 69,149.99 : x
  2. Step 2: Convert to fraction form
    120,144.33/165,795.10 = 69,149.99/x
  3. Step 3: Cross multiply
    120,144.33x = 165,795.10 × 69,149.99
  4. Step 4: Simplify right side
    120,144.33x = 11,464,729,205.03
  5. Step 5: Solve for x
    x = 11,464,729,205.03/120,144.33
  6. Step 6: Final answer
    x = 95,424.64

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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.