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Finding the Fourth Proportional to 201,908.25, 278,633.39 and 117,074.52

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Solution

The fourth proportional to 201,908.25, 278,633.39 and 117,074.52 is: 161,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.25 : 278,633.39 = 117,074.52 : x
  2. Step 2: Convert to fraction form
    201,908.25/278,633.39 = 117,074.52/x
  3. Step 3: Cross multiply
    201,908.25x = 278,633.39 × 117,074.52
  4. Step 4: Simplify right side
    201,908.25x = 32,620,869,804.85
  5. Step 5: Solve for x
    x = 32,620,869,804.85/201,908.25
  6. Step 6: Final answer
    x = 161,562.84

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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.