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Finding the Fourth Proportional to 164,193.96, 246,290.92 and 75,522.04

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Solution

The fourth proportional to 164,193.96, 246,290.92 and 75,522.04 is: 113,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193.96 : 246,290.92 = 75,522.04 : x
  2. Step 2: Convert to fraction form
    164,193.96/246,290.92 = 75,522.04/x
  3. Step 3: Cross multiply
    164,193.96x = 246,290.92 × 75,522.04
  4. Step 4: Simplify right side
    164,193.96x = 18,600,392,711.88
  5. Step 5: Solve for x
    x = 18,600,392,711.88/164,193.96
  6. Step 6: Final answer
    x = 113,283.05

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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.