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Finding the Fourth Proportional to 208,021.30, 311,594.55 and 173,029.30

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Solution

The fourth proportional to 208,021.30, 311,594.55 and 173,029.30 is: 259,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,021.30 : 311,594.55 = 173,029.30 : x
  2. Step 2: Convert to fraction form
    208,021.30/311,594.55 = 173,029.30/x
  3. Step 3: Cross multiply
    208,021.30x = 311,594.55 × 173,029.30
  4. Step 4: Simplify right side
    208,021.30x = 53,914,986,870.32
  5. Step 5: Solve for x
    x = 53,914,986,870.32/208,021.30
  6. Step 6: Final answer
    x = 259,180.13

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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.