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Finding the Fourth Proportional to 185,892.80, 278,840.13 and 45,651.44

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Solution

The fourth proportional to 185,892.80, 278,840.13 and 45,651.44 is: 68,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,892.80 : 278,840.13 = 45,651.44 : x
  2. Step 2: Convert to fraction form
    185,892.80/278,840.13 = 45,651.44/x
  3. Step 3: Cross multiply
    185,892.80x = 278,840.13 × 45,651.44
  4. Step 4: Simplify right side
    185,892.80x = 12,729,453,464.29
  5. Step 5: Solve for x
    x = 12,729,453,464.29/185,892.80
  6. Step 6: Final answer
    x = 68,477.39

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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.