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Finding the Fourth Proportional to 174,596.80, 261,722.40 and 85,777.60

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Solution

The fourth proportional to 174,596.80, 261,722.40 and 85,777.60 is: 128,581.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,596.80 : 261,722.40 = 85,777.60 : x
  2. Step 2: Convert to fraction form
    174,596.80/261,722.40 = 85,777.60/x
  3. Step 3: Cross multiply
    174,596.80x = 261,722.40 × 85,777.60
  4. Step 4: Simplify right side
    174,596.80x = 22,449,919,338.24
  5. Step 5: Solve for x
    x = 22,449,919,338.24/174,596.80
  6. Step 6: Final answer
    x = 128,581.51

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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.