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Finding the Fourth Proportional to 193,154.52, 289,658.96 and 80,842.52

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Solution

The fourth proportional to 193,154.52, 289,658.96 and 80,842.52 is: 121,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,154.52 : 289,658.96 = 80,842.52 : x
  2. Step 2: Convert to fraction form
    193,154.52/289,658.96 = 80,842.52/x
  3. Step 3: Cross multiply
    193,154.52x = 289,658.96 × 80,842.52
  4. Step 4: Simplify right side
    193,154.52x = 23,416,760,266.98
  5. Step 5: Solve for x
    x = 23,416,760,266.98/193,154.52
  6. Step 6: Final answer
    x = 121,233.30

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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.