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Finding the Fourth Proportional to 122,202, 168,627.96 and 68,469.84

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Solution

The fourth proportional to 122,202, 168,627.96 and 68,469.84 is: 94,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,202 : 168,627.96 = 68,469.84 : x
  2. Step 2: Convert to fraction form
    122,202/168,627.96 = 68,469.84/x
  3. Step 3: Cross multiply
    122,202x = 168,627.96 × 68,469.84
  4. Step 4: Simplify right side
    122,202x = 11,545,929,440.73
  5. Step 5: Solve for x
    x = 11,545,929,440.73/122,202
  6. Step 6: Final answer
    x = 94,482.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.