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Finding the Fourth Proportional to 204,950, 282,831 and 110,742

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Solution

The fourth proportional to 204,950, 282,831 and 110,742 is: 152,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,950 : 282,831 = 110,742 : x
  2. Step 2: Convert to fraction form
    204,950/282,831 = 110,742/x
  3. Step 3: Cross multiply
    204,950x = 282,831 × 110,742
  4. Step 4: Simplify right side
    204,950x = 31,321,270,602
  5. Step 5: Solve for x
    x = 31,321,270,602/204,950
  6. Step 6: Final answer
    x = 152,823.96

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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.