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Finding the Fourth Proportional to 102,748, 154,122 and 28,876

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Solution

The fourth proportional to 102,748, 154,122 and 28,876 is: 43,314

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,748 : 154,122 = 28,876 : x
  2. Step 2: Convert to fraction form
    102,748/154,122 = 28,876/x
  3. Step 3: Cross multiply
    102,748x = 154,122 × 28,876
  4. Step 4: Simplify right side
    102,748x = 4,450,426,872
  5. Step 5: Solve for x
    x = 4,450,426,872/102,748
  6. Step 6: Final answer
    x = 43,314

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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.