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Finding the Fourth Proportional to 355,906.86, 491,151.51 and 194,761.92

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Solution

The fourth proportional to 355,906.86, 491,151.51 and 194,761.92 is: 268,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,906.86 : 491,151.51 = 194,761.92 : x
  2. Step 2: Convert to fraction form
    355,906.86/491,151.51 = 194,761.92/x
  3. Step 3: Cross multiply
    355,906.86x = 491,151.51 × 194,761.92
  4. Step 4: Simplify right side
    355,906.86x = 95,657,611,098.50
  5. Step 5: Solve for x
    x = 95,657,611,098.50/355,906.86
  6. Step 6: Final answer
    x = 268,771.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.