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Finding the Fourth Proportional to 267,043.38, 368,507.97 and 146,189.76

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Solution

The fourth proportional to 267,043.38, 368,507.97 and 146,189.76 is: 201,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,043.38 : 368,507.97 = 146,189.76 : x
  2. Step 2: Convert to fraction form
    267,043.38/368,507.97 = 146,189.76/x
  3. Step 3: Cross multiply
    267,043.38x = 368,507.97 × 146,189.76
  4. Step 4: Simplify right side
    267,043.38x = 53,872,091,692.39
  5. Step 5: Solve for x
    x = 53,872,091,692.39/267,043.38
  6. Step 6: Final answer
    x = 201,735.36

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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.