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Finding the Fourth Proportional to 202,234.10, 303,424.05 and 194,944.10

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Solution

The fourth proportional to 202,234.10, 303,424.05 and 194,944.10 is: 292,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,234.10 : 303,424.05 = 194,944.10 : x
  2. Step 2: Convert to fraction form
    202,234.10/303,424.05 = 194,944.10/x
  3. Step 3: Cross multiply
    202,234.10x = 303,424.05 × 194,944.10
  4. Step 4: Simplify right side
    202,234.10x = 59,150,728,345.61
  5. Step 5: Solve for x
    x = 59,150,728,345.61/202,234.10
  6. Step 6: Final answer
    x = 292,486.42

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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.