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Finding the Fourth Proportional to 278,652.60, 384,658.24 and 188,131.12

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Solution

The fourth proportional to 278,652.60, 384,658.24 and 188,131.12 is: 259,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,652.60 : 384,658.24 = 188,131.12 : x
  2. Step 2: Convert to fraction form
    278,652.60/384,658.24 = 188,131.12/x
  3. Step 3: Cross multiply
    278,652.60x = 384,658.24 × 188,131.12
  4. Step 4: Simplify right side
    278,652.60x = 72,366,185,508.43
  5. Step 5: Solve for x
    x = 72,366,185,508.43/278,652.60
  6. Step 6: Final answer
    x = 259,700.38

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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.