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Finding the Fourth Proportional to 208,833.80, 313,250.70 and 150,222.20

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Solution

The fourth proportional to 208,833.80, 313,250.70 and 150,222.20 is: 225,333.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,833.80 : 313,250.70 = 150,222.20 : x
  2. Step 2: Convert to fraction form
    208,833.80/313,250.70 = 150,222.20/x
  3. Step 3: Cross multiply
    208,833.80x = 313,250.70 × 150,222.20
  4. Step 4: Simplify right side
    208,833.80x = 47,057,209,305.54
  5. Step 5: Solve for x
    x = 47,057,209,305.54/208,833.80
  6. Step 6: Final answer
    x = 225,333.30

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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.