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Finding the Fourth Proportional to 208,020.30, 311,593.05 and 173,028.30

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Solution

The fourth proportional to 208,020.30, 311,593.05 and 173,028.30 is: 259,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,020.30 : 311,593.05 = 173,028.30 : x
  2. Step 2: Convert to fraction form
    208,020.30/311,593.05 = 173,028.30/x
  3. Step 3: Cross multiply
    208,020.30x = 311,593.05 × 173,028.30
  4. Step 4: Simplify right side
    208,020.30x = 53,914,415,733.32
  5. Step 5: Solve for x
    x = 53,914,415,733.32/208,020.30
  6. Step 6: Final answer
    x = 259,178.63

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1.5x scale

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.