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Finding the Fourth Proportional to 273,561.30, 409,357.80 and 184,987.80

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Solution

The fourth proportional to 273,561.30, 409,357.80 and 184,987.80 is: 276,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,561.30 : 409,357.80 = 184,987.80 : x
  2. Step 2: Convert to fraction form
    273,561.30/409,357.80 = 184,987.80/x
  3. Step 3: Cross multiply
    273,561.30x = 409,357.80 × 184,987.80
  4. Step 4: Simplify right side
    273,561.30x = 75,726,198,834.84
  5. Step 5: Solve for x
    x = 75,726,198,834.84/273,561.30
  6. Step 6: Final answer
    x = 276,816.20

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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.