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Finding the Fourth Proportional to 216,866.60, 324,839.10 and 180,002.60

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Solution

The fourth proportional to 216,866.60, 324,839.10 and 180,002.60 is: 269,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,866.60 : 324,839.10 = 180,002.60 : x
  2. Step 2: Convert to fraction form
    216,866.60/324,839.10 = 180,002.60/x
  3. Step 3: Cross multiply
    216,866.60x = 324,839.10 × 180,002.60
  4. Step 4: Simplify right side
    216,866.60x = 58,471,882,581.66
  5. Step 5: Solve for x
    x = 58,471,882,581.66/216,866.60
  6. Step 6: Final answer
    x = 269,621.43

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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.