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Finding the Fourth Proportional to 306,019.52, 422,311.33 and 168,211.21

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Solution

The fourth proportional to 306,019.52, 422,311.33 and 168,211.21 is: 232,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,019.52 : 422,311.33 = 168,211.21 : x
  2. Step 2: Convert to fraction form
    306,019.52/422,311.33 = 168,211.21/x
  3. Step 3: Cross multiply
    306,019.52x = 422,311.33 × 168,211.21
  4. Step 4: Simplify right side
    306,019.52x = 71,037,499,816.01
  5. Step 5: Solve for x
    x = 71,037,499,816.01/306,019.52
  6. Step 6: Final answer
    x = 232,133.88

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