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Finding the Fourth Proportional to 120,222.45, 165,854.84 and 72,448.65

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Solution

The fourth proportional to 120,222.45, 165,854.84 and 72,448.65 is: 99,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,222.45 : 165,854.84 = 72,448.65 : x
  2. Step 2: Convert to fraction form
    120,222.45/165,854.84 = 72,448.65/x
  3. Step 3: Cross multiply
    120,222.45x = 165,854.84 × 72,448.65
  4. Step 4: Simplify right side
    120,222.45x = 12,015,958,891.72
  5. Step 5: Solve for x
    x = 12,015,958,891.72/120,222.45
  6. Step 6: Final answer
    x = 99,947.71

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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.