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Finding the Fourth Proportional to 105,599.20, 158,107.20 and 82,271.20

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Solution

The fourth proportional to 105,599.20, 158,107.20 and 82,271.20 is: 123,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,599.20 : 158,107.20 = 82,271.20 : x
  2. Step 2: Convert to fraction form
    105,599.20/158,107.20 = 82,271.20/x
  3. Step 3: Cross multiply
    105,599.20x = 158,107.20 × 82,271.20
  4. Step 4: Simplify right side
    105,599.20x = 13,007,669,072.64
  5. Step 5: Solve for x
    x = 13,007,669,072.64/105,599.20
  6. Step 6: Final answer
    x = 123,179.62

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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.