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Finding the Fourth Proportional to 175,478.76, 263,218.14 and 50,819.76

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Solution

The fourth proportional to 175,478.76, 263,218.14 and 50,819.76 is: 76,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,478.76 : 263,218.14 = 50,819.76 : x
  2. Step 2: Convert to fraction form
    175,478.76/263,218.14 = 50,819.76/x
  3. Step 3: Cross multiply
    175,478.76x = 263,218.14 × 50,819.76
  4. Step 4: Simplify right side
    175,478.76x = 13,376,682,702.45
  5. Step 5: Solve for x
    x = 13,376,682,702.45/175,478.76
  6. Step 6: Final answer
    x = 76,229.64

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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.