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Finding the Fourth Proportional to 273,271.20, 409,906.80 and 86,282.70

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Solution

The fourth proportional to 273,271.20, 409,906.80 and 86,282.70 is: 129,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,271.20 : 409,906.80 = 86,282.70 : x
  2. Step 2: Convert to fraction form
    273,271.20/409,906.80 = 86,282.70/x
  3. Step 3: Cross multiply
    273,271.20x = 409,906.80 × 86,282.70
  4. Step 4: Simplify right side
    273,271.20x = 35,367,865,452.36
  5. Step 5: Solve for x
    x = 35,367,865,452.36/273,271.20
  6. Step 6: Final answer
    x = 129,424.05

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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.