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Finding the Fourth Proportional to 267,140.28, 368,658.12 and 146,279.64

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Solution

The fourth proportional to 267,140.28, 368,658.12 and 146,279.64 is: 201,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,140.28 : 368,658.12 = 146,279.64 : x
  2. Step 2: Convert to fraction form
    267,140.28/368,658.12 = 146,279.64/x
  3. Step 3: Cross multiply
    267,140.28x = 368,658.12 × 146,279.64
  4. Step 4: Simplify right side
    267,140.28x = 53,927,177,076.68
  5. Step 5: Solve for x
    x = 53,927,177,076.68/267,140.28
  6. Step 6: Final answer
    x = 201,868.39

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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.