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Finding the Fourth Proportional to 106,069.80, 159,104.70 and 82,450.20

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Solution

The fourth proportional to 106,069.80, 159,104.70 and 82,450.20 is: 123,675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,069.80 : 159,104.70 = 82,450.20 : x
  2. Step 2: Convert to fraction form
    106,069.80/159,104.70 = 82,450.20/x
  3. Step 3: Cross multiply
    106,069.80x = 159,104.70 × 82,450.20
  4. Step 4: Simplify right side
    106,069.80x = 13,118,214,335.94
  5. Step 5: Solve for x
    x = 13,118,214,335.94/106,069.80
  6. Step 6: Final answer
    x = 123,675.30

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1.5x scale

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.