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Finding the Fourth Proportional to 194,852, 268,895.94 and 109,967.24

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Solution

The fourth proportional to 194,852, 268,895.94 and 109,967.24 is: 151,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852 : 268,895.94 = 109,967.24 : x
  2. Step 2: Convert to fraction form
    194,852/268,895.94 = 109,967.24/x
  3. Step 3: Cross multiply
    194,852x = 268,895.94 × 109,967.24
  4. Step 4: Simplify right side
    194,852x = 29,569,744,369.01
  5. Step 5: Solve for x
    x = 29,569,744,369.01/194,852
  6. Step 6: Final answer
    x = 151,754.89

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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.