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Finding the Fourth Proportional to 159,093.38, 219,553.03 and 86,501.15

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Solution

The fourth proportional to 159,093.38, 219,553.03 and 86,501.15 is: 119,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,093.38 : 219,553.03 = 86,501.15 : x
  2. Step 2: Convert to fraction form
    159,093.38/219,553.03 = 86,501.15/x
  3. Step 3: Cross multiply
    159,093.38x = 219,553.03 × 86,501.15
  4. Step 4: Simplify right side
    159,093.38x = 18,991,589,414.67
  5. Step 5: Solve for x
    x = 18,991,589,414.67/159,093.38
  6. Step 6: Final answer
    x = 119,373.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.