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Finding the Fourth Proportional to 364,558, 547,080 and 140,103.76

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Solution

The fourth proportional to 364,558, 547,080 and 140,103.76 is: 210,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,558 : 547,080 = 140,103.76 : x
  2. Step 2: Convert to fraction form
    364,558/547,080 = 140,103.76/x
  3. Step 3: Cross multiply
    364,558x = 547,080 × 140,103.76
  4. Step 4: Simplify right side
    364,558x = 76,647,965,020.80
  5. Step 5: Solve for x
    x = 76,647,965,020.80/364,558
  6. Step 6: Final answer
    x = 210,249.03

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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.