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Finding the Fourth Proportional to 199,226.40, 298,839.60 and 146,082.30

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Solution

The fourth proportional to 199,226.40, 298,839.60 and 146,082.30 is: 219,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,226.40 : 298,839.60 = 146,082.30 : x
  2. Step 2: Convert to fraction form
    199,226.40/298,839.60 = 146,082.30/x
  3. Step 3: Cross multiply
    199,226.40x = 298,839.60 × 146,082.30
  4. Step 4: Simplify right side
    199,226.40x = 43,655,176,099.08
  5. Step 5: Solve for x
    x = 43,655,176,099.08/199,226.40
  6. Step 6: Final answer
    x = 219,123.45

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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.