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Finding the Fourth Proportional to 122,241, 183,255.49 and 47,309.57

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Solution

The fourth proportional to 122,241, 183,255.49 and 47,309.57 is: 70,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,241 : 183,255.49 = 47,309.57 : x
  2. Step 2: Convert to fraction form
    122,241/183,255.49 = 47,309.57/x
  3. Step 3: Cross multiply
    122,241x = 183,255.49 × 47,309.57
  4. Step 4: Simplify right side
    122,241x = 8,669,738,432.04
  5. Step 5: Solve for x
    x = 8,669,738,432.04/122,241
  6. Step 6: Final answer
    x = 70,923.33

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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.