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Finding the Fourth Proportional to 193,008.96, 289,414.68 and 80,658.54

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Solution

The fourth proportional to 193,008.96, 289,414.68 and 80,658.54 is: 120,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,008.96 : 289,414.68 = 80,658.54 : x
  2. Step 2: Convert to fraction form
    193,008.96/289,414.68 = 80,658.54/x
  3. Step 3: Cross multiply
    193,008.96x = 289,414.68 × 80,658.54
  4. Step 4: Simplify right side
    193,008.96x = 23,343,765,543.37
  5. Step 5: Solve for x
    x = 23,343,765,543.37/193,008.96
  6. Step 6: Final answer
    x = 120,946.54

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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.