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Finding the Fourth Proportional to 133,765.20, 200,647.80 and 125,470.80

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Solution

The fourth proportional to 133,765.20, 200,647.80 and 125,470.80 is: 188,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,765.20 : 200,647.80 = 125,470.80 : x
  2. Step 2: Convert to fraction form
    133,765.20/200,647.80 = 125,470.80/x
  3. Step 3: Cross multiply
    133,765.20x = 200,647.80 × 125,470.80
  4. Step 4: Simplify right side
    133,765.20x = 25,175,439,984.24
  5. Step 5: Solve for x
    x = 25,175,439,984.24/133,765.20
  6. Step 6: Final answer
    x = 188,206.20

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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.