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Finding the Fourth Proportional to 193,000.70, 289,402.34 and 80,650.26

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Solution

The fourth proportional to 193,000.70, 289,402.34 and 80,650.26 is: 120,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,000.70 : 289,402.34 = 80,650.26 : x
  2. Step 2: Convert to fraction form
    193,000.70/289,402.34 = 80,650.26/x
  3. Step 3: Cross multiply
    193,000.70x = 289,402.34 × 80,650.26
  4. Step 4: Simplify right side
    193,000.70x = 23,340,373,562.36
  5. Step 5: Solve for x
    x = 23,340,373,562.36/193,000.70
  6. Step 6: Final answer
    x = 120,934.14

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1.5x scale

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.