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Finding the Fourth Proportional to 194,381.68, 268,241.64 and 109,493.68

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Solution

The fourth proportional to 194,381.68, 268,241.64 and 109,493.68 is: 151,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,381.68 : 268,241.64 = 109,493.68 : x
  2. Step 2: Convert to fraction form
    194,381.68/268,241.64 = 109,493.68/x
  3. Step 3: Cross multiply
    194,381.68x = 268,241.64 × 109,493.68
  4. Step 4: Simplify right side
    194,381.68x = 29,370,764,292.84
  5. Step 5: Solve for x
    x = 29,370,764,292.84/194,381.68
  6. Step 6: Final answer
    x = 151,098.42

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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.