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Finding the Fourth Proportional to 278,467.38, 384,285.42 and 151,143.03

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Solution

The fourth proportional to 278,467.38, 384,285.42 and 151,143.03 is: 208,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,467.38 : 384,285.42 = 151,143.03 : x
  2. Step 2: Convert to fraction form
    278,467.38/384,285.42 = 151,143.03/x
  3. Step 3: Cross multiply
    278,467.38x = 384,285.42 × 151,143.03
  4. Step 4: Simplify right side
    278,467.38x = 58,082,062,763.62
  5. Step 5: Solve for x
    x = 58,082,062,763.62/278,467.38
  6. Step 6: Final answer
    x = 208,577.62

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Why These Related Problems?

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