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Finding the Fourth Proportional to 132,149.76, 182,322 and 75,520.80

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Solution

The fourth proportional to 132,149.76, 182,322 and 75,520.80 is: 104,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,149.76 : 182,322 = 75,520.80 : x
  2. Step 2: Convert to fraction form
    132,149.76/182,322 = 75,520.80/x
  3. Step 3: Cross multiply
    132,149.76x = 182,322 × 75,520.80
  4. Step 4: Simplify right side
    132,149.76x = 13,769,103,297.60
  5. Step 5: Solve for x
    x = 13,769,103,297.60/132,149.76
  6. Step 6: Final answer
    x = 104,193.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.