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Finding the Fourth Proportional to 109,741.30, 164,611.95 and 82,093.30

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Solution

The fourth proportional to 109,741.30, 164,611.95 and 82,093.30 is: 123,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,741.30 : 164,611.95 = 82,093.30 : x
  2. Step 2: Convert to fraction form
    109,741.30/164,611.95 = 82,093.30/x
  3. Step 3: Cross multiply
    109,741.30x = 164,611.95 × 82,093.30
  4. Step 4: Simplify right side
    109,741.30x = 13,513,538,194.94
  5. Step 5: Solve for x
    x = 13,513,538,194.94/109,741.30
  6. Step 6: Final answer
    x = 123,139.95

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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.