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Finding the Fourth Proportional to 273,078.80, 409,618.20 and 86,109.20

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Solution

The fourth proportional to 273,078.80, 409,618.20 and 86,109.20 is: 129,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,078.80 : 409,618.20 = 86,109.20 : x
  2. Step 2: Convert to fraction form
    273,078.80/409,618.20 = 86,109.20/x
  3. Step 3: Cross multiply
    273,078.80x = 409,618.20 × 86,109.20
  4. Step 4: Simplify right side
    273,078.80x = 35,271,895,507.44
  5. Step 5: Solve for x
    x = 35,271,895,507.44/273,078.80
  6. Step 6: Final answer
    x = 129,163.80

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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.