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Finding the Fourth Proportional to 267,488, 369,133.44 and 148,256

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Solution

The fourth proportional to 267,488, 369,133.44 and 148,256 is: 204,593.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,488 : 369,133.44 = 148,256 : x
  2. Step 2: Convert to fraction form
    267,488/369,133.44 = 148,256/x
  3. Step 3: Cross multiply
    267,488x = 369,133.44 × 148,256
  4. Step 4: Simplify right side
    267,488x = 54,726,247,280.64
  5. Step 5: Solve for x
    x = 54,726,247,280.64/267,488
  6. Step 6: Final answer
    x = 204,593.28

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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.