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Finding the Fourth Proportional to 102,744, 154,116 and 28,872

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Solution

The fourth proportional to 102,744, 154,116 and 28,872 is: 43,308

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,744 : 154,116 = 28,872 : x
  2. Step 2: Convert to fraction form
    102,744/154,116 = 28,872/x
  3. Step 3: Cross multiply
    102,744x = 154,116 × 28,872
  4. Step 4: Simplify right side
    102,744x = 4,449,637,152
  5. Step 5: Solve for x
    x = 4,449,637,152/102,744
  6. Step 6: Final answer
    x = 43,308

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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.