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Finding the Fourth Proportional to 122,223.89, 183,335.99 and 33,478.17

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Solution

The fourth proportional to 122,223.89, 183,335.99 and 33,478.17 is: 50,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,223.89 : 183,335.99 = 33,478.17 : x
  2. Step 2: Convert to fraction form
    122,223.89/183,335.99 = 33,478.17/x
  3. Step 3: Cross multiply
    122,223.89x = 183,335.99 × 33,478.17
  4. Step 4: Simplify right side
    122,223.89x = 6,137,753,440.34
  5. Step 5: Solve for x
    x = 6,137,753,440.34/122,223.89
  6. Step 6: Final answer
    x = 50,217.30

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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.