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Finding the Fourth Proportional to 345,079.88, 476,198.54 and 194,147.72

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Solution

The fourth proportional to 345,079.88, 476,198.54 and 194,147.72 is: 267,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,079.88 : 476,198.54 = 194,147.72 : x
  2. Step 2: Convert to fraction form
    345,079.88/476,198.54 = 194,147.72/x
  3. Step 3: Cross multiply
    345,079.88x = 476,198.54 × 194,147.72
  4. Step 4: Simplify right side
    345,079.88x = 92,452,860,808.33
  5. Step 5: Solve for x
    x = 92,452,860,808.33/345,079.88
  6. Step 6: Final answer
    x = 267,917.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.