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Finding the Fourth Proportional to 261,057.20, 360,324.25 and 160,396.88

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Solution

The fourth proportional to 261,057.20, 360,324.25 and 160,396.88 is: 221,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,057.20 : 360,324.25 = 160,396.88 : x
  2. Step 2: Convert to fraction form
    261,057.20/360,324.25 = 160,396.88/x
  3. Step 3: Cross multiply
    261,057.20x = 360,324.25 × 160,396.88
  4. Step 4: Simplify right side
    261,057.20x = 57,794,883,285.73
  5. Step 5: Solve for x
    x = 57,794,883,285.73/261,057.20
  6. Step 6: Final answer
    x = 221,387.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.