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Finding the Fourth Proportional to 192,832.34, 289,137.76 and 102,764.17

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Solution

The fourth proportional to 192,832.34, 289,137.76 and 102,764.17 is: 154,087.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,832.34 : 289,137.76 = 102,764.17 : x
  2. Step 2: Convert to fraction form
    192,832.34/289,137.76 = 102,764.17/x
  3. Step 3: Cross multiply
    192,832.34x = 289,137.76 × 102,764.17
  4. Step 4: Simplify right side
    192,832.34x = 29,713,001,922.06
  5. Step 5: Solve for x
    x = 29,713,001,922.06/192,832.34
  6. Step 6: Final answer
    x = 154,087.23

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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.