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Finding the Fourth Proportional to 263,144.16, 394,719.84 and 85,652.04

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Solution

The fourth proportional to 263,144.16, 394,719.84 and 85,652.04 is: 128,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,144.16 : 394,719.84 = 85,652.04 : x
  2. Step 2: Convert to fraction form
    263,144.16/394,719.84 = 85,652.04/x
  3. Step 3: Cross multiply
    263,144.16x = 394,719.84 × 85,652.04
  4. Step 4: Simplify right side
    263,144.16x = 33,808,559,524.47
  5. Step 5: Solve for x
    x = 33,808,559,524.47/263,144.16
  6. Step 6: Final answer
    x = 128,479.23

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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.