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Finding the Fourth Proportional to 208,829.80, 313,244.70 and 150,218.20

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Solution

The fourth proportional to 208,829.80, 313,244.70 and 150,218.20 is: 225,327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,829.80 : 313,244.70 = 150,218.20 : x
  2. Step 2: Convert to fraction form
    208,829.80/313,244.70 = 150,218.20/x
  3. Step 3: Cross multiply
    208,829.80x = 313,244.70 × 150,218.20
  4. Step 4: Simplify right side
    208,829.80x = 47,055,054,993.54
  5. Step 5: Solve for x
    x = 47,055,054,993.54/208,829.80
  6. Step 6: Final answer
    x = 225,327.30

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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.