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Finding the Fourth Proportional to 120,212.97, 180,335.85 and 50,075.88

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Solution

The fourth proportional to 120,212.97, 180,335.85 and 50,075.88 is: 75,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,212.97 : 180,335.85 = 50,075.88 : x
  2. Step 2: Convert to fraction form
    120,212.97/180,335.85 = 50,075.88/x
  3. Step 3: Cross multiply
    120,212.97x = 180,335.85 × 50,075.88
  4. Step 4: Simplify right side
    120,212.97x = 9,030,475,482.62
  5. Step 5: Solve for x
    x = 9,030,475,482.62/120,212.97
  6. Step 6: Final answer
    x = 75,120.65

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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.