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Finding the Fourth Proportional to 194,257.98, 291,403.46 and 54,016.61

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Solution

The fourth proportional to 194,257.98, 291,403.46 and 54,016.61 is: 81,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,257.98 : 291,403.46 = 54,016.61 : x
  2. Step 2: Convert to fraction form
    194,257.98/291,403.46 = 54,016.61/x
  3. Step 3: Cross multiply
    194,257.98x = 291,403.46 × 54,016.61
  4. Step 4: Simplify right side
    194,257.98x = 15,740,625,729.49
  5. Step 5: Solve for x
    x = 15,740,625,729.49/194,257.98
  6. Step 6: Final answer
    x = 81,029.49

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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.