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Finding the Fourth Proportional to 194,232.37, 268,077.90 and 109,349.44

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Solution

The fourth proportional to 194,232.37, 268,077.90 and 109,349.44 is: 150,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,232.37 : 268,077.90 = 109,349.44 : x
  2. Step 2: Convert to fraction form
    194,232.37/268,077.90 = 109,349.44/x
  3. Step 3: Cross multiply
    194,232.37x = 268,077.90 × 109,349.44
  4. Step 4: Simplify right side
    194,232.37x = 29,314,168,241.38
  5. Step 5: Solve for x
    x = 29,314,168,241.38/194,232.37
  6. Step 6: Final answer
    x = 150,923.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.