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Finding the Fourth Proportional to 180,466.20, 270,699.30 and 164,719.80

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Solution

The fourth proportional to 180,466.20, 270,699.30 and 164,719.80 is: 247,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,466.20 : 270,699.30 = 164,719.80 : x
  2. Step 2: Convert to fraction form
    180,466.20/270,699.30 = 164,719.80/x
  3. Step 3: Cross multiply
    180,466.20x = 270,699.30 × 164,719.80
  4. Step 4: Simplify right side
    180,466.20x = 44,589,534,556.14
  5. Step 5: Solve for x
    x = 44,589,534,556.14/180,466.20
  6. Step 6: Final answer
    x = 247,079.70

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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.