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Finding the Fourth Proportional to 164,558.40, 246,764.70 and 75,839.10

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Solution

The fourth proportional to 164,558.40, 246,764.70 and 75,839.10 is: 113,725.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,558.40 : 246,764.70 = 75,839.10 : x
  2. Step 2: Convert to fraction form
    164,558.40/246,764.70 = 75,839.10/x
  3. Step 3: Cross multiply
    164,558.40x = 246,764.70 × 75,839.10
  4. Step 4: Simplify right side
    164,558.40x = 18,714,412,759.77
  5. Step 5: Solve for x
    x = 18,714,412,759.77/164,558.40
  6. Step 6: Final answer
    x = 113,725.05

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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.