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Finding the Fourth Proportional to 173,902.11, 260,942.13 and 82,820.63

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Solution

The fourth proportional to 173,902.11, 260,942.13 and 82,820.63 is: 124,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,902.11 : 260,942.13 = 82,820.63 : x
  2. Step 2: Convert to fraction form
    173,902.11/260,942.13 = 82,820.63/x
  3. Step 3: Cross multiply
    173,902.11x = 260,942.13 × 82,820.63
  4. Step 4: Simplify right side
    173,902.11x = 21,611,391,017.63
  5. Step 5: Solve for x
    x = 21,611,391,017.63/173,902.11
  6. Step 6: Final answer
    x = 124,273.31

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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.