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Finding the Fourth Proportional to 280,019.36, 386,500.38 and 159,231.44

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Solution

The fourth proportional to 280,019.36, 386,500.38 and 159,231.44 is: 219,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,019.36 : 386,500.38 = 159,231.44 : x
  2. Step 2: Convert to fraction form
    280,019.36/386,500.38 = 159,231.44/x
  3. Step 3: Cross multiply
    280,019.36x = 386,500.38 × 159,231.44
  4. Step 4: Simplify right side
    280,019.36x = 61,543,012,067.95
  5. Step 5: Solve for x
    x = 61,543,012,067.95/280,019.36
  6. Step 6: Final answer
    x = 219,781.28

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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.