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Finding the Fourth Proportional to 278,767.38, 384,700.50 and 151,443.24

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Solution

The fourth proportional to 278,767.38, 384,700.50 and 151,443.24 is: 208,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,767.38 : 384,700.50 = 151,443.24 : x
  2. Step 2: Convert to fraction form
    278,767.38/384,700.50 = 151,443.24/x
  3. Step 3: Cross multiply
    278,767.38x = 384,700.50 × 151,443.24
  4. Step 4: Simplify right side
    278,767.38x = 58,260,290,149.62
  5. Step 5: Solve for x
    x = 58,260,290,149.62/278,767.38
  6. Step 6: Final answer
    x = 208,992.49

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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.