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Finding the Fourth Proportional to 293,259, 404,697.42 and 159,123

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Solution

The fourth proportional to 293,259, 404,697.42 and 159,123 is: 219,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,259 : 404,697.42 = 159,123 : x
  2. Step 2: Convert to fraction form
    293,259/404,697.42 = 159,123/x
  3. Step 3: Cross multiply
    293,259x = 404,697.42 × 159,123
  4. Step 4: Simplify right side
    293,259x = 64,396,667,562.66
  5. Step 5: Solve for x
    x = 64,396,667,562.66/293,259
  6. Step 6: Final answer
    x = 219,589.74

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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.