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Finding the Fourth Proportional to 254,619, 382,012.74 and 136,263.96

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Solution

The fourth proportional to 254,619, 382,012.74 and 136,263.96 is: 204,441.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,619 : 382,012.74 = 136,263.96 : x
  2. Step 2: Convert to fraction form
    254,619/382,012.74 = 136,263.96/x
  3. Step 3: Cross multiply
    254,619x = 382,012.74 × 136,263.96
  4. Step 4: Simplify right side
    254,619x = 52,054,568,722.85
  5. Step 5: Solve for x
    x = 52,054,568,722.85/254,619
  6. Step 6: Final answer
    x = 204,441.02

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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.