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Finding the Fourth Proportional to 267,561.33, 369,231.82 and 146,702.34

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Solution

The fourth proportional to 267,561.33, 369,231.82 and 146,702.34 is: 202,447.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,561.33 : 369,231.82 = 146,702.34 : x
  2. Step 2: Convert to fraction form
    267,561.33/369,231.82 = 146,702.34/x
  3. Step 3: Cross multiply
    267,561.33x = 369,231.82 × 146,702.34
  4. Step 4: Simplify right side
    267,561.33x = 54,167,171,629.70
  5. Step 5: Solve for x
    x = 54,167,171,629.70/267,561.33
  6. Step 6: Final answer
    x = 202,447.69

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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.