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Finding the Fourth Proportional to 278,472.26, 384,291.96 and 151,147.82

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Solution

The fourth proportional to 278,472.26, 384,291.96 and 151,147.82 is: 208,584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,472.26 : 384,291.96 = 151,147.82 : x
  2. Step 2: Convert to fraction form
    278,472.26/384,291.96 = 151,147.82/x
  3. Step 3: Cross multiply
    278,472.26x = 384,291.96 × 151,147.82
  4. Step 4: Simplify right side
    278,472.26x = 58,084,891,997.53
  5. Step 5: Solve for x
    x = 58,084,891,997.53/278,472.26
  6. Step 6: Final answer
    x = 208,584.12

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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.