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Finding the Fourth Proportional to 273,069.80, 409,662.30 and 86,100.20

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Solution

The fourth proportional to 273,069.80, 409,662.30 and 86,100.20 is: 129,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,069.80 : 409,662.30 = 86,100.20 : x
  2. Step 2: Convert to fraction form
    273,069.80/409,662.30 = 86,100.20/x
  3. Step 3: Cross multiply
    273,069.80x = 409,662.30 × 86,100.20
  4. Step 4: Simplify right side
    273,069.80x = 35,272,005,962.46
  5. Step 5: Solve for x
    x = 35,272,005,962.46/273,069.80
  6. Step 6: Final answer
    x = 129,168.46

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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.