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Finding the Fourth Proportional to 267,724.26, 369,462.33 and 146,865.78

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Solution

The fourth proportional to 267,724.26, 369,462.33 and 146,865.78 is: 202,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,724.26 : 369,462.33 = 146,865.78 : x
  2. Step 2: Convert to fraction form
    267,724.26/369,462.33 = 146,865.78/x
  3. Step 3: Cross multiply
    267,724.26x = 369,462.33 × 146,865.78
  4. Step 4: Simplify right side
    267,724.26x = 54,261,373,276.07
  5. Step 5: Solve for x
    x = 54,261,373,276.07/267,724.26
  6. Step 6: Final answer
    x = 202,676.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.