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Finding the Fourth Proportional to 194,939, 269,016.63 and 105,515

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Solution

The fourth proportional to 194,939, 269,016.63 and 105,515 is: 145,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,939 : 269,016.63 = 105,515 : x
  2. Step 2: Convert to fraction form
    194,939/269,016.63 = 105,515/x
  3. Step 3: Cross multiply
    194,939x = 269,016.63 × 105,515
  4. Step 4: Simplify right side
    194,939x = 28,385,289,714.45
  5. Step 5: Solve for x
    x = 28,385,289,714.45/194,939
  6. Step 6: Final answer
    x = 145,611.14

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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.