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Finding the Fourth Proportional to 182,880, 274,070.93 and 102,956.09

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Solution

The fourth proportional to 182,880, 274,070.93 and 102,956.09 is: 154,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,880 : 274,070.93 = 102,956.09 : x
  2. Step 2: Convert to fraction form
    182,880/274,070.93 = 102,956.09/x
  3. Step 3: Cross multiply
    182,880x = 274,070.93 × 102,956.09
  4. Step 4: Simplify right side
    182,880x = 28,217,269,450.33
  5. Step 5: Solve for x
    x = 28,217,269,450.33/182,880
  6. Step 6: Final answer
    x = 154,293.91

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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.