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Finding the Fourth Proportional to 149,099.82, 205,752.48 and 81,114.90

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Solution

The fourth proportional to 149,099.82, 205,752.48 and 81,114.90 is: 111,935.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,099.82 : 205,752.48 = 81,114.90 : x
  2. Step 2: Convert to fraction form
    149,099.82/205,752.48 = 81,114.90/x
  3. Step 3: Cross multiply
    149,099.82x = 205,752.48 × 81,114.90
  4. Step 4: Simplify right side
    149,099.82x = 16,689,591,839.95
  5. Step 5: Solve for x
    x = 16,689,591,839.95/149,099.82
  6. Step 6: Final answer
    x = 111,935.69

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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.