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Finding the Fourth Proportional to 267,665, 401,653.02 and 119,921

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Solution

The fourth proportional to 267,665, 401,653.02 and 119,921 is: 179,951.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,665 : 401,653.02 = 119,921 : x
  2. Step 2: Convert to fraction form
    267,665/401,653.02 = 119,921/x
  3. Step 3: Cross multiply
    267,665x = 401,653.02 × 119,921
  4. Step 4: Simplify right side
    267,665x = 48,166,631,811.42
  5. Step 5: Solve for x
    x = 48,166,631,811.42/267,665
  6. Step 6: Final answer
    x = 179,951.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.