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Finding the Fourth Proportional to 102,759, 154,141.72 and 27,878.92

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Solution

The fourth proportional to 102,759, 154,141.72 and 27,878.92 is: 41,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,759 : 154,141.72 = 27,878.92 : x
  2. Step 2: Convert to fraction form
    102,759/154,141.72 = 27,878.92/x
  3. Step 3: Cross multiply
    102,759x = 154,141.72 × 27,878.92
  4. Step 4: Simplify right side
    102,759x = 4,297,304,680.54
  5. Step 5: Solve for x
    x = 4,297,304,680.54/102,759
  6. Step 6: Final answer
    x = 41,819.25

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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.