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Finding the Fourth Proportional to 106,063.20, 159,091.20 and 27,178.20

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Solution

The fourth proportional to 106,063.20, 159,091.20 and 27,178.20 is: 40,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,063.20 : 159,091.20 = 27,178.20 : x
  2. Step 2: Convert to fraction form
    106,063.20/159,091.20 = 27,178.20/x
  3. Step 3: Cross multiply
    106,063.20x = 159,091.20 × 27,178.20
  4. Step 4: Simplify right side
    106,063.20x = 4,323,812,451.84
  5. Step 5: Solve for x
    x = 4,323,812,451.84/106,063.20
  6. Step 6: Final answer
    x = 40,766.38

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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.