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Finding the Fourth Proportional to 229,229.40, 343,844.10 and 205,123.80

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Solution

The fourth proportional to 229,229.40, 343,844.10 and 205,123.80 is: 307,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,229.40 : 343,844.10 = 205,123.80 : x
  2. Step 2: Convert to fraction form
    229,229.40/343,844.10 = 205,123.80/x
  3. Step 3: Cross multiply
    229,229.40x = 343,844.10 × 205,123.80
  4. Step 4: Simplify right side
    229,229.40x = 70,530,608,399.58
  5. Step 5: Solve for x
    x = 70,530,608,399.58/229,229.40
  6. Step 6: Final answer
    x = 307,685.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.