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Finding the Fourth Proportional to 227,658.96, 341,375.46 and 77,856.78

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Solution

The fourth proportional to 227,658.96, 341,375.46 and 77,856.78 is: 116,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,658.96 : 341,375.46 = 77,856.78 : x
  2. Step 2: Convert to fraction form
    227,658.96/341,375.46 = 77,856.78/x
  3. Step 3: Cross multiply
    227,658.96x = 341,375.46 × 77,856.78
  4. Step 4: Simplify right side
    227,658.96x = 26,578,394,086.62
  5. Step 5: Solve for x
    x = 26,578,394,086.62/227,658.96
  6. Step 6: Final answer
    x = 116,746.53

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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.