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Finding the Fourth Proportional to 216,453.30, 324,766.06 and 83,297.80

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Solution

The fourth proportional to 216,453.30, 324,766.06 and 83,297.80 is: 124,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,453.30 : 324,766.06 = 83,297.80 : x
  2. Step 2: Convert to fraction form
    216,453.30/324,766.06 = 83,297.80/x
  3. Step 3: Cross multiply
    216,453.30x = 324,766.06 × 83,297.80
  4. Step 4: Simplify right side
    216,453.30x = 27,052,298,510.38
  5. Step 5: Solve for x
    x = 27,052,298,510.38/216,453.30
  6. Step 6: Final answer
    x = 124,979.84

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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.