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Finding the Fourth Proportional to 278,406.21, 384,201.57 and 151,081.77

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Solution

The fourth proportional to 278,406.21, 384,201.57 and 151,081.77 is: 208,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,406.21 : 384,201.57 = 151,081.77 : x
  2. Step 2: Convert to fraction form
    278,406.21/384,201.57 = 151,081.77/x
  3. Step 3: Cross multiply
    278,406.21x = 384,201.57 × 151,081.77
  4. Step 4: Simplify right side
    278,406.21x = 58,045,853,232.38
  5. Step 5: Solve for x
    x = 58,045,853,232.38/278,406.21
  6. Step 6: Final answer
    x = 208,493.39

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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.