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Finding the Fourth Proportional to 267,251.78, 368,791.71 and 146,369

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Solution

The fourth proportional to 267,251.78, 368,791.71 and 146,369 is: 201,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,251.78 : 368,791.71 = 146,369 : x
  2. Step 2: Convert to fraction form
    267,251.78/368,791.71 = 146,369/x
  3. Step 3: Cross multiply
    267,251.78x = 368,791.71 × 146,369
  4. Step 4: Simplify right side
    267,251.78x = 53,979,673,800.99
  5. Step 5: Solve for x
    x = 53,979,673,800.99/267,251.78
  6. Step 6: Final answer
    x = 201,980.60

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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.