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Finding the Fourth Proportional to 341,198.62, 511,863.53 and 130,820.15

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Solution

The fourth proportional to 341,198.62, 511,863.53 and 130,820.15 is: 196,255.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,198.62 : 511,863.53 = 130,820.15 : x
  2. Step 2: Convert to fraction form
    341,198.62/511,863.53 = 130,820.15/x
  3. Step 3: Cross multiply
    341,198.62x = 511,863.53 × 130,820.15
  4. Step 4: Simplify right side
    341,198.62x = 66,962,063,774.13
  5. Step 5: Solve for x
    x = 66,962,063,774.13/341,198.62
  6. Step 6: Final answer
    x = 196,255.38

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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.