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Finding the Fourth Proportional to 267,010.30, 400,662.87 and 109,349.20

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Solution

The fourth proportional to 267,010.30, 400,662.87 and 109,349.20 is: 164,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,010.30 : 400,662.87 = 109,349.20 : x
  2. Step 2: Convert to fraction form
    267,010.30/400,662.87 = 109,349.20/x
  3. Step 3: Cross multiply
    267,010.30x = 400,662.87 × 109,349.20
  4. Step 4: Simplify right side
    267,010.30x = 43,812,164,304.20
  5. Step 5: Solve for x
    x = 43,812,164,304.20/267,010.30
  6. Step 6: Final answer
    x = 164,084.17

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Why These Related Problems?

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