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Finding the Fourth Proportional to 289,524.44, 434,138.52 and 120,998.82

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Solution

The fourth proportional to 289,524.44, 434,138.52 and 120,998.82 is: 181,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,524.44 : 434,138.52 = 120,998.82 : x
  2. Step 2: Convert to fraction form
    289,524.44/434,138.52 = 120,998.82/x
  3. Step 3: Cross multiply
    289,524.44x = 434,138.52 × 120,998.82
  4. Step 4: Simplify right side
    289,524.44x = 52,530,248,636.55
  5. Step 5: Solve for x
    x = 52,530,248,636.55/289,524.44
  6. Step 6: Final answer
    x = 181,436.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.