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Finding the Fourth Proportional to 194,609.34, 268,560.90 and 105,185.34

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Solution

The fourth proportional to 194,609.34, 268,560.90 and 105,185.34 is: 145,155.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,609.34 : 268,560.90 = 105,185.34 : x
  2. Step 2: Convert to fraction form
    194,609.34/268,560.90 = 105,185.34/x
  3. Step 3: Cross multiply
    194,609.34x = 268,560.90 × 105,185.34
  4. Step 4: Simplify right side
    194,609.34x = 28,248,669,577.21
  5. Step 5: Solve for x
    x = 28,248,669,577.21/194,609.34
  6. Step 6: Final answer
    x = 145,155.78

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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.