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Finding the Fourth Proportional to 267,251.28, 368,791.02 and 146,368.50

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Solution

The fourth proportional to 267,251.28, 368,791.02 and 146,368.50 is: 201,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,251.28 : 368,791.02 = 146,368.50 : x
  2. Step 2: Convert to fraction form
    267,251.28/368,791.02 = 146,368.50/x
  3. Step 3: Cross multiply
    267,251.28x = 368,791.02 × 146,368.50
  4. Step 4: Simplify right side
    267,251.28x = 53,979,388,410.87
  5. Step 5: Solve for x
    x = 53,979,388,410.87/267,251.28
  6. Step 6: Final answer
    x = 201,979.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.