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Finding the Fourth Proportional to 149,166, 205,850.52 and 82,099.44

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Solution

The fourth proportional to 149,166, 205,850.52 and 82,099.44 is: 113,298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,166 : 205,850.52 = 82,099.44 : x
  2. Step 2: Convert to fraction form
    149,166/205,850.52 = 82,099.44/x
  3. Step 3: Cross multiply
    149,166x = 205,850.52 × 82,099.44
  4. Step 4: Simplify right side
    149,166x = 16,900,212,415.71
  5. Step 5: Solve for x
    x = 16,900,212,415.71/149,166
  6. Step 6: Final answer
    x = 113,298.02

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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.