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Finding the Fourth Proportional to 252,644.16, 379,195.74 and 134,414.40

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Solution

The fourth proportional to 252,644.16, 379,195.74 and 134,414.40 is: 201,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,644.16 : 379,195.74 = 134,414.40 : x
  2. Step 2: Convert to fraction form
    252,644.16/379,195.74 = 134,414.40/x
  3. Step 3: Cross multiply
    252,644.16x = 379,195.74 × 134,414.40
  4. Step 4: Simplify right side
    252,644.16x = 50,969,367,874.66
  5. Step 5: Solve for x
    x = 50,969,367,874.66/252,644.16
  6. Step 6: Final answer
    x = 201,743.70

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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.