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Finding the Fourth Proportional to 122,204.84, 183,319.92 and 33,458.33

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Solution

The fourth proportional to 122,204.84, 183,319.92 and 33,458.33 is: 50,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,204.84 : 183,319.92 = 33,458.33 : x
  2. Step 2: Convert to fraction form
    122,204.84/183,319.92 = 33,458.33/x
  3. Step 3: Cross multiply
    122,204.84x = 183,319.92 × 33,458.33
  4. Step 4: Simplify right side
    122,204.84x = 6,133,577,462.33
  5. Step 5: Solve for x
    x = 6,133,577,462.33/122,204.84
  6. Step 6: Final answer
    x = 50,190.96

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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.