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Finding the Fourth Proportional to 267,530.97, 369,182.94 and 146,669.60

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Solution

The fourth proportional to 267,530.97, 369,182.94 and 146,669.60 is: 202,398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,530.97 : 369,182.94 = 146,669.60 : x
  2. Step 2: Convert to fraction form
    267,530.97/369,182.94 = 146,669.60/x
  3. Step 3: Cross multiply
    267,530.97x = 369,182.94 × 146,669.60
  4. Step 4: Simplify right side
    267,530.97x = 54,147,914,922.08
  5. Step 5: Solve for x
    x = 54,147,914,922.08/267,530.97
  6. Step 6: Final answer
    x = 202,398.68

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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.