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Finding the Fourth Proportional to 194,672.25, 268,648.11 and 105,248.25

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Solution

The fourth proportional to 194,672.25, 268,648.11 and 105,248.25 is: 145,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,672.25 : 268,648.11 = 105,248.25 : x
  2. Step 2: Convert to fraction form
    194,672.25/268,648.11 = 105,248.25/x
  3. Step 3: Cross multiply
    194,672.25x = 268,648.11 × 105,248.25
  4. Step 4: Simplify right side
    194,672.25x = 28,274,743,443.31
  5. Step 5: Solve for x
    x = 28,274,743,443.31/194,672.25
  6. Step 6: Final answer
    x = 145,242.80

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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.