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Finding the Fourth Proportional to 133,469.60, 200,204.40 and 122,583.20

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Solution

The fourth proportional to 133,469.60, 200,204.40 and 122,583.20 is: 183,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,469.60 : 200,204.40 = 122,583.20 : x
  2. Step 2: Convert to fraction form
    133,469.60/200,204.40 = 122,583.20/x
  3. Step 3: Cross multiply
    133,469.60x = 200,204.40 × 122,583.20
  4. Step 4: Simplify right side
    133,469.60x = 24,541,696,006.08
  5. Step 5: Solve for x
    x = 24,541,696,006.08/133,469.60
  6. Step 6: Final answer
    x = 183,874.80

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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.