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Finding the Fourth Proportional to 253,027.98, 379,235.08 and 185,845.16

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Solution

The fourth proportional to 253,027.98, 379,235.08 and 185,845.16 is: 278,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,027.98 : 379,235.08 = 185,845.16 : x
  2. Step 2: Convert to fraction form
    253,027.98/379,235.08 = 185,845.16/x
  3. Step 3: Cross multiply
    253,027.98x = 379,235.08 × 185,845.16
  4. Step 4: Simplify right side
    253,027.98x = 70,479,004,120.21
  5. Step 5: Solve for x
    x = 70,479,004,120.21/253,027.98
  6. Step 6: Final answer
    x = 278,542.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.