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Finding the Fourth Proportional to 185,523.77, 256,022.84 and 104,949.56

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Solution

The fourth proportional to 185,523.77, 256,022.84 and 104,949.56 is: 144,830.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,523.77 : 256,022.84 = 104,949.56 : x
  2. Step 2: Convert to fraction form
    185,523.77/256,022.84 = 104,949.56/x
  3. Step 3: Cross multiply
    185,523.77x = 256,022.84 × 104,949.56
  4. Step 4: Simplify right side
    185,523.77x = 26,869,485,310.38
  5. Step 5: Solve for x
    x = 26,869,485,310.38/185,523.77
  6. Step 6: Final answer
    x = 144,830.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.