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Finding the Fourth Proportional to 173,213.94, 259,828.14 and 54,882.66

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Solution

The fourth proportional to 173,213.94, 259,828.14 and 54,882.66 is: 82,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,213.94 : 259,828.14 = 54,882.66 : x
  2. Step 2: Convert to fraction form
    173,213.94/259,828.14 = 54,882.66/x
  3. Step 3: Cross multiply
    173,213.94x = 259,828.14 × 54,882.66
  4. Step 4: Simplify right side
    173,213.94x = 14,260,059,466.05
  5. Step 5: Solve for x
    x = 14,260,059,466.05/173,213.94
  6. Step 6: Final answer
    x = 82,326.28

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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.