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Finding the Fourth Proportional to 267,807.83, 401,816.32 and 117,942.80

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Solution

The fourth proportional to 267,807.83, 401,816.32 and 117,942.80 is: 176,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,807.83 : 401,816.32 = 117,942.80 : x
  2. Step 2: Convert to fraction form
    267,807.83/401,816.32 = 117,942.80/x
  3. Step 3: Cross multiply
    267,807.83x = 401,816.32 × 117,942.80
  4. Step 4: Simplify right side
    267,807.83x = 47,391,342,576.18
  5. Step 5: Solve for x
    x = 47,391,342,576.18/267,807.83
  6. Step 6: Final answer
    x = 176,960.26

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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.