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Finding the Fourth Proportional to 164,494.56, 246,704.92 and 75,662.74

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Solution

The fourth proportional to 164,494.56, 246,704.92 and 75,662.74 is: 113,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,494.56 : 246,704.92 = 75,662.74 : x
  2. Step 2: Convert to fraction form
    164,494.56/246,704.92 = 75,662.74/x
  3. Step 3: Cross multiply
    164,494.56x = 246,704.92 × 75,662.74
  4. Step 4: Simplify right side
    164,494.56x = 18,666,370,218.68
  5. Step 5: Solve for x
    x = 18,666,370,218.68/164,494.56
  6. Step 6: Final answer
    x = 113,477.13

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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.