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Finding the Fourth Proportional to 262,842.66, 362,672.10 and 160,891.20

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Solution

The fourth proportional to 262,842.66, 362,672.10 and 160,891.20 is: 221,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,842.66 : 362,672.10 = 160,891.20 : x
  2. Step 2: Convert to fraction form
    262,842.66/362,672.10 = 160,891.20/x
  3. Step 3: Cross multiply
    262,842.66x = 362,672.10 × 160,891.20
  4. Step 4: Simplify right side
    262,842.66x = 58,350,749,375.52
  5. Step 5: Solve for x
    x = 58,350,749,375.52/262,842.66
  6. Step 6: Final answer
    x = 221,998.78

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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.