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Finding the Fourth Proportional to 175,815, 263,766.24 and 51,156

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Solution

The fourth proportional to 175,815, 263,766.24 and 51,156 is: 76,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,815 : 263,766.24 = 51,156 : x
  2. Step 2: Convert to fraction form
    175,815/263,766.24 = 51,156/x
  3. Step 3: Cross multiply
    175,815x = 263,766.24 × 51,156
  4. Step 4: Simplify right side
    175,815x = 13,493,225,773.44
  5. Step 5: Solve for x
    x = 13,493,225,773.44/175,815
  6. Step 6: Final answer
    x = 76,746.73

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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.