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Finding the Fourth Proportional to 296,103.98, 408,622.28 and 160,138.06

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Solution

The fourth proportional to 296,103.98, 408,622.28 and 160,138.06 is: 220,989.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,103.98 : 408,622.28 = 160,138.06 : x
  2. Step 2: Convert to fraction form
    296,103.98/408,622.28 = 160,138.06/x
  3. Step 3: Cross multiply
    296,103.98x = 408,622.28 × 160,138.06
  4. Step 4: Simplify right side
    296,103.98x = 65,435,979,191.98
  5. Step 5: Solve for x
    x = 65,435,979,191.98/296,103.98
  6. Step 6: Final answer
    x = 220,989.87

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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.