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Finding the Fourth Proportional to 120,306.26, 180,422.93 and 50,169.17

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Solution

The fourth proportional to 120,306.26, 180,422.93 and 50,169.17 is: 75,238.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,306.26 : 180,422.93 = 50,169.17 : x
  2. Step 2: Convert to fraction form
    120,306.26/180,422.93 = 50,169.17/x
  3. Step 3: Cross multiply
    120,306.26x = 180,422.93 × 50,169.17
  4. Step 4: Simplify right side
    120,306.26x = 9,051,668,941.35
  5. Step 5: Solve for x
    x = 9,051,668,941.35/120,306.26
  6. Step 6: Final answer
    x = 75,238.55

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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.