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Finding the Fourth Proportional to 201,093.83, 277,441.95 and 113,867.04

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Solution

The fourth proportional to 201,093.83, 277,441.95 and 113,867.04 is: 157,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,093.83 : 277,441.95 = 113,867.04 : x
  2. Step 2: Convert to fraction form
    201,093.83/277,441.95 = 113,867.04/x
  3. Step 3: Cross multiply
    201,093.83x = 277,441.95 × 113,867.04
  4. Step 4: Simplify right side
    201,093.83x = 31,591,493,618.33
  5. Step 5: Solve for x
    x = 31,591,493,618.33/201,093.83
  6. Step 6: Final answer
    x = 157,098.27

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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.