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Finding the Fourth Proportional to 208,977.20, 313,465.80 and 126,033.20

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Solution

The fourth proportional to 208,977.20, 313,465.80 and 126,033.20 is: 189,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,977.20 : 313,465.80 = 126,033.20 : x
  2. Step 2: Convert to fraction form
    208,977.20/313,465.80 = 126,033.20/x
  3. Step 3: Cross multiply
    208,977.20x = 313,465.80 × 126,033.20
  4. Step 4: Simplify right side
    208,977.20x = 39,507,097,864.56
  5. Step 5: Solve for x
    x = 39,507,097,864.56/208,977.20
  6. Step 6: Final answer
    x = 189,049.80

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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.