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Finding the Fourth Proportional to 106,162.40, 159,198.24 and 36,009.92

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Solution

The fourth proportional to 106,162.40, 159,198.24 and 36,009.92 is: 53,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162.40 : 159,198.24 = 36,009.92 : x
  2. Step 2: Convert to fraction form
    106,162.40/159,198.24 = 36,009.92/x
  3. Step 3: Cross multiply
    106,162.40x = 159,198.24 × 36,009.92
  4. Step 4: Simplify right side
    106,162.40x = 5,732,715,886.54
  5. Step 5: Solve for x
    x = 5,732,715,886.54/106,162.40
  6. Step 6: Final answer
    x = 53,999.49

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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.