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Finding the Fourth Proportional to 193,165.70, 289,748.55 and 68,519.30

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Solution

The fourth proportional to 193,165.70, 289,748.55 and 68,519.30 is: 102,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,165.70 : 289,748.55 = 68,519.30 : x
  2. Step 2: Convert to fraction form
    193,165.70/289,748.55 = 68,519.30/x
  3. Step 3: Cross multiply
    193,165.70x = 289,748.55 × 68,519.30
  4. Step 4: Simplify right side
    193,165.70x = 19,853,367,822.02
  5. Step 5: Solve for x
    x = 19,853,367,822.02/193,165.70
  6. Step 6: Final answer
    x = 102,778.95

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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.