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Finding the Fourth Proportional to 122,121.41, 183,157.77 and 33,353.84

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Solution

The fourth proportional to 122,121.41, 183,157.77 and 33,353.84 is: 50,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,121.41 : 183,157.77 = 33,353.84 : x
  2. Step 2: Convert to fraction form
    122,121.41/183,157.77 = 33,353.84/x
  3. Step 3: Cross multiply
    122,121.41x = 183,157.77 × 33,353.84
  4. Step 4: Simplify right side
    122,121.41x = 6,109,015,538.31
  5. Step 5: Solve for x
    x = 6,109,015,538.31/122,121.41
  6. Step 6: Final answer
    x = 50,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.