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Finding the Fourth Proportional to 267,807.90, 401,816.41 and 117,942.87

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Solution

The fourth proportional to 267,807.90, 401,816.41 and 117,942.87 is: 176,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,807.90 : 401,816.41 = 117,942.87 : x
  2. Step 2: Convert to fraction form
    267,807.90/401,816.41 = 117,942.87/x
  3. Step 3: Cross multiply
    267,807.90x = 401,816.41 × 117,942.87
  4. Step 4: Simplify right side
    267,807.90x = 47,391,380,608.50
  5. Step 5: Solve for x
    x = 47,391,380,608.50/267,807.90
  6. Step 6: Final answer
    x = 176,960.35

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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.