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Finding the Fourth Proportional to 194,293.23, 268,094.96 and 109,408.11

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Solution

The fourth proportional to 194,293.23, 268,094.96 and 109,408.11 is: 150,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,293.23 : 268,094.96 = 109,408.11 : x
  2. Step 2: Convert to fraction form
    194,293.23/268,094.96 = 109,408.11/x
  3. Step 3: Cross multiply
    194,293.23x = 268,094.96 × 109,408.11
  4. Step 4: Simplify right side
    194,293.23x = 29,331,762,327.09
  5. Step 5: Solve for x
    x = 29,331,762,327.09/194,293.23
  6. Step 6: Final answer
    x = 150,966.47

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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.