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Finding the Fourth Proportional to 278,635.80, 384,578.64 and 183,151.38

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Solution

The fourth proportional to 278,635.80, 384,578.64 and 183,151.38 is: 252,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,635.80 : 384,578.64 = 183,151.38 : x
  2. Step 2: Convert to fraction form
    278,635.80/384,578.64 = 183,151.38/x
  3. Step 3: Cross multiply
    278,635.80x = 384,578.64 × 183,151.38
  4. Step 4: Simplify right side
    278,635.80x = 70,436,108,634.52
  5. Step 5: Solve for x
    x = 70,436,108,634.52/278,635.80
  6. Step 6: Final answer
    x = 252,789.16

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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.