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Finding the Fourth Proportional to 273,677.80, 409,532.55 and 185,104.30

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Solution

The fourth proportional to 273,677.80, 409,532.55 and 185,104.30 is: 276,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,677.80 : 409,532.55 = 185,104.30 : x
  2. Step 2: Convert to fraction form
    273,677.80/409,532.55 = 185,104.30/x
  3. Step 3: Cross multiply
    273,677.80x = 409,532.55 × 185,104.30
  4. Step 4: Simplify right side
    273,677.80x = 75,806,235,994.97
  5. Step 5: Solve for x
    x = 75,806,235,994.97/273,677.80
  6. Step 6: Final answer
    x = 276,990.81

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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.