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Finding the Fourth Proportional to 296,129.33, 408,657.26 and 160,163.43

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Solution

The fourth proportional to 296,129.33, 408,657.26 and 160,163.43 is: 221,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,129.33 : 408,657.26 = 160,163.43 : x
  2. Step 2: Convert to fraction form
    296,129.33/408,657.26 = 160,163.43/x
  3. Step 3: Cross multiply
    296,129.33x = 408,657.26 × 160,163.43
  4. Step 4: Simplify right side
    296,129.33x = 65,451,947,655.18
  5. Step 5: Solve for x
    x = 65,451,947,655.18/296,129.33
  6. Step 6: Final answer
    x = 221,024.88

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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.