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Finding the Fourth Proportional to 133,329.60, 200,224.80 and 71,121.60

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Solution

The fourth proportional to 133,329.60, 200,224.80 and 71,121.60 is: 106,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,329.60 : 200,224.80 = 71,121.60 : x
  2. Step 2: Convert to fraction form
    133,329.60/200,224.80 = 71,121.60/x
  3. Step 3: Cross multiply
    133,329.60x = 200,224.80 × 71,121.60
  4. Step 4: Simplify right side
    133,329.60x = 14,240,308,135.68
  5. Step 5: Solve for x
    x = 14,240,308,135.68/133,329.60
  6. Step 6: Final answer
    x = 106,805.30

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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.