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Finding the Fourth Proportional to 265,875.20, 397,840.80 and 195,891.20

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Solution

The fourth proportional to 265,875.20, 397,840.80 and 195,891.20 is: 293,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,875.20 : 397,840.80 = 195,891.20 : x
  2. Step 2: Convert to fraction form
    265,875.20/397,840.80 = 195,891.20/x
  3. Step 3: Cross multiply
    265,875.20x = 397,840.80 × 195,891.20
  4. Step 4: Simplify right side
    265,875.20x = 77,933,511,720.96
  5. Step 5: Solve for x
    x = 77,933,511,720.96/265,875.20
  6. Step 6: Final answer
    x = 293,120.65

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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.