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Finding the Fourth Proportional to 102,756, 154,134 and 28,884

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Solution

The fourth proportional to 102,756, 154,134 and 28,884 is: 43,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,756 : 154,134 = 28,884 : x
  2. Step 2: Convert to fraction form
    102,756/154,134 = 28,884/x
  3. Step 3: Cross multiply
    102,756x = 154,134 × 28,884
  4. Step 4: Simplify right side
    102,756x = 4,452,006,456
  5. Step 5: Solve for x
    x = 4,452,006,456/102,756
  6. Step 6: Final answer
    x = 43,326

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.