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Finding the Fourth Proportional to 289,103.98, 398,944.20 and 160,033.72

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Solution

The fourth proportional to 289,103.98, 398,944.20 and 160,033.72 is: 220,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,103.98 : 398,944.20 = 160,033.72 : x
  2. Step 2: Convert to fraction form
    289,103.98/398,944.20 = 160,033.72/x
  3. Step 3: Cross multiply
    289,103.98x = 398,944.20 × 160,033.72
  4. Step 4: Simplify right side
    289,103.98x = 63,844,524,398.42
  5. Step 5: Solve for x
    x = 63,844,524,398.42/289,103.98
  6. Step 6: Final answer
    x = 220,835.85

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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.