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Finding the Fourth Proportional to 278,431.86, 384,236.16 and 151,107.45

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Solution

The fourth proportional to 278,431.86, 384,236.16 and 151,107.45 is: 208,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,431.86 : 384,236.16 = 151,107.45 : x
  2. Step 2: Convert to fraction form
    278,431.86/384,236.16 = 151,107.45/x
  3. Step 3: Cross multiply
    278,431.86x = 384,236.16 × 151,107.45
  4. Step 4: Simplify right side
    278,431.86x = 58,060,945,408.52
  5. Step 5: Solve for x
    x = 58,060,945,408.52/278,431.86
  6. Step 6: Final answer
    x = 208,528.39

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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.