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Finding the Fourth Proportional to 304,082.10, 456,123.15 and 146,229.30

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Solution

The fourth proportional to 304,082.10, 456,123.15 and 146,229.30 is: 219,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,082.10 : 456,123.15 = 146,229.30 : x
  2. Step 2: Convert to fraction form
    304,082.10/456,123.15 = 146,229.30/x
  3. Step 3: Cross multiply
    304,082.10x = 456,123.15 × 146,229.30
  4. Step 4: Simplify right side
    304,082.10x = 66,698,568,938.30
  5. Step 5: Solve for x
    x = 66,698,568,938.30/304,082.10
  6. Step 6: Final answer
    x = 219,343.95

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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.