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Finding the Fourth Proportional to 120,103.66, 165,759.52 and 69,115.34

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Solution

The fourth proportional to 120,103.66, 165,759.52 and 69,115.34 is: 95,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,103.66 : 165,759.52 = 69,115.34 : x
  2. Step 2: Convert to fraction form
    120,103.66/165,759.52 = 69,115.34/x
  3. Step 3: Cross multiply
    120,103.66x = 165,759.52 × 69,115.34
  4. Step 4: Simplify right side
    120,103.66x = 11,456,525,583.04
  5. Step 5: Solve for x
    x = 11,456,525,583.04/120,103.66
  6. Step 6: Final answer
    x = 95,388.65

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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.