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Finding the Fourth Proportional to 194,294.48, 268,096.68 and 109,409.36

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Solution

The fourth proportional to 194,294.48, 268,096.68 and 109,409.36 is: 150,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,294.48 : 268,096.68 = 109,409.36 : x
  2. Step 2: Convert to fraction form
    194,294.48/268,096.68 = 109,409.36/x
  3. Step 3: Cross multiply
    194,294.48x = 268,096.68 × 109,409.36
  4. Step 4: Simplify right side
    194,294.48x = 29,332,286,176.92
  5. Step 5: Solve for x
    x = 29,332,286,176.92/194,294.48
  6. Step 6: Final answer
    x = 150,968.19

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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.