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Finding the Fourth Proportional to 133,940.20, 200,564.70 and 106,292.20

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Solution

The fourth proportional to 133,940.20, 200,564.70 and 106,292.20 is: 159,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,940.20 : 200,564.70 = 106,292.20 : x
  2. Step 2: Convert to fraction form
    133,940.20/200,564.70 = 106,292.20/x
  3. Step 3: Cross multiply
    133,940.20x = 200,564.70 × 106,292.20
  4. Step 4: Simplify right side
    133,940.20x = 21,318,463,205.34
  5. Step 5: Solve for x
    x = 21,318,463,205.34/133,940.20
  6. Step 6: Final answer
    x = 159,164.04

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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.