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Finding the Fourth Proportional to 289,147, 399,269.10 and 181,896.52

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Solution

The fourth proportional to 289,147, 399,269.10 and 181,896.52 is: 251,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,147 : 399,269.10 = 181,896.52 : x
  2. Step 2: Convert to fraction form
    289,147/399,269.10 = 181,896.52/x
  3. Step 3: Cross multiply
    289,147x = 399,269.10 × 181,896.52
  4. Step 4: Simplify right side
    289,147x = 72,625,659,833.53
  5. Step 5: Solve for x
    x = 72,625,659,833.53/289,147
  6. Step 6: Final answer
    x = 251,172.10

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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.