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Finding the Fourth Proportional to 182,881, 274,072.42 and 102,957.09

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Solution

The fourth proportional to 182,881, 274,072.42 and 102,957.09 is: 154,295.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,881 : 274,072.42 = 102,957.09 : x
  2. Step 2: Convert to fraction form
    182,881/274,072.42 = 102,957.09/x
  3. Step 3: Cross multiply
    182,881x = 274,072.42 × 102,957.09
  4. Step 4: Simplify right side
    182,881x = 28,217,698,812.46
  5. Step 5: Solve for x
    x = 28,217,698,812.46/182,881
  6. Step 6: Final answer
    x = 154,295.41

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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.