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Finding the Fourth Proportional to 120,076.14, 165,694.19 and 69,075.30

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Solution

The fourth proportional to 120,076.14, 165,694.19 and 69,075.30 is: 95,317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,076.14 : 165,694.19 = 69,075.30 : x
  2. Step 2: Convert to fraction form
    120,076.14/165,694.19 = 69,075.30/x
  3. Step 3: Cross multiply
    120,076.14x = 165,694.19 × 69,075.30
  4. Step 4: Simplify right side
    120,076.14x = 11,445,375,537.13
  5. Step 5: Solve for x
    x = 11,445,375,537.13/120,076.14
  6. Step 6: Final answer
    x = 95,317.65

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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.