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Finding the Fourth Proportional to 164,494.55, 246,704.94 and 75,662.75

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Solution

The fourth proportional to 164,494.55, 246,704.94 and 75,662.75 is: 113,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,494.55 : 246,704.94 = 75,662.75 : x
  2. Step 2: Convert to fraction form
    164,494.55/246,704.94 = 75,662.75/x
  3. Step 3: Cross multiply
    164,494.55x = 246,704.94 × 75,662.75
  4. Step 4: Simplify right side
    164,494.55x = 18,666,372,965.46
  5. Step 5: Solve for x
    x = 18,666,372,965.46/164,494.55
  6. Step 6: Final answer
    x = 113,477.15

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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.