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Finding the Fourth Proportional to 120,536.86, 166,346.28 and 68,858.50

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Solution

The fourth proportional to 120,536.86, 166,346.28 and 68,858.50 is: 95,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,536.86 : 166,346.28 = 68,858.50 : x
  2. Step 2: Convert to fraction form
    120,536.86/166,346.28 = 68,858.50/x
  3. Step 3: Cross multiply
    120,536.86x = 166,346.28 × 68,858.50
  4. Step 4: Simplify right side
    120,536.86x = 11,454,355,321.38
  5. Step 5: Solve for x
    x = 11,454,355,321.38/120,536.86
  6. Step 6: Final answer
    x = 95,027.82

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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.