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Finding the Fourth Proportional to 164,489.68, 246,697.61 and 75,657.84

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Solution

The fourth proportional to 164,489.68, 246,697.61 and 75,657.84 is: 113,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,489.68 : 246,697.61 = 75,657.84 : x
  2. Step 2: Convert to fraction form
    164,489.68/246,697.61 = 75,657.84/x
  3. Step 3: Cross multiply
    164,489.68x = 246,697.61 × 75,657.84
  4. Step 4: Simplify right side
    164,489.68x = 18,664,608,305.76
  5. Step 5: Solve for x
    x = 18,664,608,305.76/164,489.68
  6. Step 6: Final answer
    x = 113,469.78

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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.